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10721359936 = 2672434
BaseRepresentation
bin10011111110000101…
…01111100001000000
31000200012010111221001
421333002233201000
5133424132004221
64531511541344
7526454025100
oct117702574100
930605114831
1010721359936
114601a23451
1220b268a854
13101b297c81
14739c9b200
1542b39e391
hex27f0af840

10721359936 has 105 divisors (see below), whose sum is σ = 25337955039. Its totient is φ = 4488011136.

The previous prime is 10721359933. The next prime is 10721359997. The reversal of 10721359936 is 63995312701.

The square root of 10721359936 is 103544.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×107213599362 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10721359931) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 249333931 + ... + 249333973.

Almost surely, 210721359936 is an apocalyptic number.

10721359936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10721359936 is the 103544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10721359936

10721359936 is an abundant number, since it is smaller than the sum of its proper divisors (14616595103).

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

10721359936 is an frugal number, since it uses more digits than its factorization.

10721359936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 46.

The spelling of 10721359936 in words is "ten billion, seven hundred twenty-one million, three hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 172 196 224 301 344 392 448 602 688 784 1204 1376 1568 1849 2107 2408 2752 3136 3698 4214 4816 7396 8428 9632 12943 14792 16856 19264 25886 29584 33712 51772 59168 67424 79507 90601 103544 118336 134848 159014 181202 207088 318028 362404 414176 556549 636056 724808 828352 1113098 1272112 1449616 2226196 2544224 2899232 3418801 3895843 4452392 5088448 5798464 6837602 7791686 8904784 13675204 15583372 17809568 23931607 27350408 31166744 35619136 47863214 54700816 62333488 95726428 109401632 124666976 167521249 191452856 218803264 249333952 335042498 382905712 670084996 765811424 1340169992 1531622848 2680339984 5360679968 10721359936