Search a number
-
+
109420370688 = 2835310326099
BaseRepresentation
bin110010111100111110…
…1100101101100000000
3101110102200201202102210
41211321331211230000
53243043103330223
6122133402142120
710622352543036
oct1457175455400
9343380652383
10109420370688
114244aa46022
12192587b1940
13a41a3b4395
145420220556
152ca62a0893
hex1979f65b00

109420370688 has 144 divisors (see below), whose sum is σ = 299604614400. Its totient is φ = 35436490752.

The previous prime is 109420370659. The next prime is 109420370711. The reversal of 109420370688 is 886073024901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4179463 + ... + 4205561.

It is an arithmetic number, because the mean of its divisors is an integer number (2080587600).

Almost surely, 2109420370688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109420370688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149802307200).

109420370688 is an abundant number, since it is smaller than the sum of its proper divisors (190184243712).

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

109420370688 is a wasteful number, since it uses less digits than its factorization.

109420370688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26274 (or 26260 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 109420370688 in words is "one hundred nine billion, four hundred twenty million, three hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 103 106 128 159 192 206 212 256 309 318 384 412 424 618 636 768 824 848 1236 1272 1648 1696 2472 2544 3296 3392 4944 5088 5459 6592 6784 9888 10176 10918 13184 13568 16377 19776 20352 21836 26099 26368 32754 39552 40704 43672 52198 65508 78297 79104 87344 104396 131016 156594 174688 208792 262032 313188 349376 417584 524064 626376 698752 835168 1048128 1252752 1383247 1397504 1670336 2096256 2505504 2688197 2766494 3340672 4149741 4192512 5011008 5376394 5532988 6681344 8064591 8299482 10022016 10752788 11065976 16129182 16598964 20044032 21505576 22131952 32258364 33197928 43011152 44263904 64516728 66395856 86022304 88527808 129033456 132791712 142474441 172044608 177055616 258066912 265583424 284948882 344089216 354111232 427423323 516133824 531166848 569897764 688178432 854846646 1032267648 1062333696 1139795528 1709693292 2064535296 2279591056 3419386584 4559182112 6838773168 9118364224 13677546336 18236728448 27355092672 36473456896 54710185344 109420370688