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10937813056 = 261727692
BaseRepresentation
bin10100010111111000…
…11100100001000000
31001020021102110210021
422023330130201000
5134400040004211
65005203143224
7535022606542
oct121374344100
931207373707
1010937813056
114703123925
122153074b14
131054093141
1475a923692
154403a8771
hex28bf1c840

10937813056 has 63 divisors (see below), whose sum is σ = 23086595559. Its totient is φ = 5140512768.

The previous prime is 10937813021. The next prime is 10937813059. The reversal of 10937813056 is 65031873901.

The square root of 10937813056 is 104584.

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

It can be written as a sum of positive squares in 4 ways, for example, as 373262400 + 10564550656 = 19320^2 + 102784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10937813059) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14223040 + ... + 14223808.

Almost surely, 210937813056 is an apocalyptic number.

10937813056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10937813056 is the 104584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10937813056

10937813056 is an abundant number, since it is smaller than the sum of its proper divisors (12148782503).

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

10937813056 is an frugal number, since it uses more digits than its factorization.

10937813056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 10937813056 in words is "ten billion, nine hundred thirty-seven million, eight hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 769 1088 1156 1538 2312 3076 4624 6152 9248 12304 13073 18496 24608 26146 49216 52292 104584 209168 222241 418336 444482 591361 836672 888964 1182722 1777928 2365444 3555856 4730888 7111712 9461776 10053137 14223424 18923552 20106274 37847104 40212548 80425096 160850192 170903329 321700384 341806658 643400768 683613316 1367226632 2734453264 5468906528 10937813056