Search a number
-
+
38949309156560 = 24511411497245143
BaseRepresentation
bin10001101101100100101111…
…01111001000110011010000
312002220111222022201221011112
420312302113233020303100
520101121141121002220
6214501022101032452
711126665122165065
oct1066622757106320
9162814868657145
1038949309156560
1111457344681240
1244507789b5728
131896b9a3a780a
14989229aacc6c
1547826314b5c5
hex236c97bc8cd0

38949309156560 has 160 divisors (see below), whose sum is σ = 101878316870400. Its totient is φ = 13725197004800.

The previous prime is 38949309156551. The next prime is 38949309156607. The reversal of 38949309156560 is 6565190394983.

It is a happy number.

38949309156560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1753349 + ... + 8998491.

It is an arithmetic number, because the mean of its divisors is an integer number (636739480440).

Almost surely, 238949309156560 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 38949309156560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50939158435200).

38949309156560 is an abundant number, since it is smaller than the sum of its proper divisors (62929007713840).

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

38949309156560 is a wasteful number, since it uses less digits than its factorization.

38949309156560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245357 (or 7245351 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 68.

The spelling of 38949309156560 in words is "thirty-eight trillion, nine hundred forty-nine billion, three hundred nine million, one hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 149 164 176 205 220 298 328 410 440 451 596 656 745 820 880 902 1192 1490 1639 1640 1804 2255 2384 2980 3278 3280 3608 4510 5960 6109 6556 7216 8195 9020 11920 12218 13112 16390 18040 24436 26224 30545 32780 36080 48872 61090 65560 67199 97744 122180 131120 134398 244360 268796 335995 488720 537592 671990 1075184 1343980 2687960 5375920 7245143 14490286 28980572 36225715 57961144 72451430 79696573 115922288 144902860 159393146 289805720 297050863 318786292 398482865 579611440 594101726 637572584 796965730 1079526307 1188203452 1275145168 1485254315 1593931460 2159052614 2376406904 2970508630 3187862920 3267559493 4318105228 4752813808 5397631535 5941017260 6375725840 6535118986 8636210456 10795263070 11874789377 11882034520 13070237972 16337797465 17272420912 21590526140 23749578754 23764069040 26140475944 32675594930 43181052280 44260578587 47499157508 52280951888 59373946885 65351189860 86362104560 88521157174 94998315016 118747893770 130702379720 177042314348 189996630032 221302892935 237495787540 261404759440 354084628696 442605785870 474991575080 486866364457 708169257392 885211571740 949983150160 973732728914 1770423143480 1947465457828 2434331822285 3540846286960 3894930915656 4868663644570 7789861831312 9737327289140 19474654578280 38949309156560