Search a number
-
+
239906362798704 = 24371966535648477
BaseRepresentation
bin110110100011000110001101…
…100010001011001001110000
31011110102211020220122101120110
4312203012031202023021300
5222421111212334024304
62210123243411341320
7101350443213322350
oct6643061542131160
91143384226571513
10239906362798704
116a4947984aa148
1222aa75635b1840
13a3b30c432a554
14433575c12ab60
151cb07ad470289
hexda318d88b270

239906362798704 has 160 divisors (see below), whose sum is σ = 745685856622080. Its totient is φ = 64927288544256.

The previous prime is 239906362798651. The next prime is 239906362798819. The reversal of 239906362798704 is 407897263609932.

It is a super-2 number, since 2×2399063627987042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39648514 + ... + 45296990.

It is an arithmetic number, because the mean of its divisors is an integer number (4660536603888).

Almost surely, 2239906362798704 is an apocalyptic number.

239906362798704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239906362798704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372842928311040).

239906362798704 is an abundant number, since it is smaller than the sum of its proper divisors (505779493823376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

239906362798704 is a wasteful number, since it uses less digits than its factorization.

239906362798704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655167 (or 5655161 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 75.

The spelling of 239906362798704 in words is "two hundred thirty-nine trillion, nine hundred six billion, three hundred sixty-two million, seven hundred ninety-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 6653 13306 19959 26612 39918 46571 53224 79836 93142 106448 126407 139713 159672 186284 252814 279426 319344 372568 379221 505628 558852 745136 758442 884849 1011256 1117704 1516884 1769698 2022512 2235408 2654547 3033768 3539396 5309094 5648477 6067536 7078792 10618188 11296954 14157584 16945431 21236376 22593908 33890862 39539339 42472752 45187816 67781724 79078678 90375632 107321063 118618017 135563448 158157356 214642126 237236034 271126896 316314712 321963189 429284252 474472068 632629424 643926378 751247441 858568504 948944136 1287852756 1502494882 1717137008 1897888272 2253742323 2575705512 3004989764 4507484646 5151411024 6009979528 9014969292 12019959056 18029938584 36059877168 37579317481 75158634962 112737952443 150317269924 225475904886 263055222367 300634539848 450951809772 526110444734 601269079696 714007032139 789165667101 901903619544 1052220889468 1428014064278 1578331334202 1803807239088 2104441778936 2142021096417 2856028128556 3156662668404 4208883557872 4284042192834 4998049224973 5712056257112 6313325336808 8568084385668 9996098449946 11424112514224 12626650673616 14994147674919 17136168771336 19992196899892 29988295349838 34272337542672 39984393799784 59976590699676 79968787599568 119953181399352 239906362798704