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10207734138 = 2327438921169
BaseRepresentation
bin10011000000110110…
…11010100101111010
3222100101122121210100
421200123122211322
5131401134443023
64404523100230
7510646210560
oct114033324572
928311577710
1010207734138
114368aaa818
121b8a671676
13c68a51b94
146cb999a30
153eb243c43
hex2606da97a

10207734138 has 96 divisors (see below), whose sum is σ = 26155958400. Its totient is φ = 2816529408.

The previous prime is 10207734127. The next prime is 10207734169. The reversal of 10207734138 is 83143770201.

10207734138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471618 + ... + 492786.

It is an arithmetic number, because the mean of its divisors is an integer number (272457900).

Almost surely, 210207734138 is an apocalyptic number.

10207734138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10207734138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077979200).

10207734138 is an abundant number, since it is smaller than the sum of its proper divisors (15948224262).

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

10207734138 is a wasteful number, since it uses less digits than its factorization.

10207734138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21316 (or 21313 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10207734138 in words is "ten billion, two hundred seven million, seven hundred thirty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 89 126 129 178 258 267 301 387 534 602 623 774 801 903 1246 1602 1806 1869 2709 3738 3827 5418 5607 7654 11214 11481 21169 22962 26789 34443 42338 53578 63507 68886 80367 127014 148183 160734 190521 241101 296366 381042 444549 482202 889098 910267 1333647 1820534 1884041 2667294 2730801 3768082 5461602 5652123 6371869 8192403 11304246 12743738 13188287 16384806 16956369 19115607 26376574 33912738 38231214 39564861 57346821 79129722 81013763 114693642 118694583 162027526 237389166 243041289 486082578 567096341 729123867 1134192682 1458247734 1701289023 3402578046 5103867069 10207734138