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10070903616 = 2631393531069
BaseRepresentation
bin10010110000100010…
…11100101101000000
3221222212011220121020
421120101130231000
5131111122403431
64343154225440
7504365161014
oct113021345500
927885156536
1010070903616
1142a8842a44
121b50885280
13c465b4387
146b773c544
153de216696
hex25845cb40

10070903616 has 112 divisors (see below), whose sum is σ = 26938833600. Its totient is φ = 3320266752.

The previous prime is 10070903561. The next prime is 10070903639. The reversal of 10070903616 is 61630907001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9420330 + ... + 9421398.

It is an arithmetic number, because the mean of its divisors is an integer number (240525300).

Almost surely, 210070903616 is an apocalyptic number.

10070903616 is a gapful number since it is divisible by the number (16) 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 10070903616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469416800).

10070903616 is an abundant number, since it is smaller than the sum of its proper divisors (16867929984).

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

10070903616 is a wasteful number, since it uses less digits than its factorization.

10070903616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 10070903616 in words is "ten billion, seventy million, nine hundred three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 353 417 556 706 834 1059 1069 1112 1412 1668 2118 2138 2224 2824 3207 3336 4236 4276 4448 5648 6414 6672 8472 8552 8896 11296 12828 13344 16944 17104 22592 25656 26688 33888 34208 49067 51312 67776 68416 98134 102624 147201 148591 196268 205248 294402 297182 377357 392536 445773 588804 594364 754714 785072 891546 1132071 1177608 1188728 1509428 1570144 1783092 2264142 2355216 2377456 3018856 3140288 3566184 4528284 4710432 4754912 6037712 7132368 9056568 9420864 9509824 12075424 14264736 18113136 24150848 28529472 36226272 52452623 72452544 104905246 157357869 209810492 314715738 419620984 629431476 839241968 1258862952 1678483936 2517725904 3356967872 5035451808 10070903616