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10088017754896 = 247940412
BaseRepresentation
bin1001001011001100110010…
…1101101111101100010000
31022201101221022011110212101
42102303030231233230100
52310240230021124041
633242212115010144
72060556325044514
oct222631455575420
938641838143771
1010088017754896
11323a339035014
12116b160899954
135823b03ab9b3
1426c396a74144
1512762c267b31
hex92cccb6fb10

10088017754896 has 15 divisors (see below), whose sum is σ = 19545559015413. Its totient is φ = 5044002525120.

The previous prime is 10088017754873. The next prime is 10088017754897. The reversal of 10088017754896 is 69845771088001.

The square root of 10088017754896 is 3176164.

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

10088017754896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9545850612496 + 542167142400 = 3089636^2 + 736320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10088017754897) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12307636 + ... + 13101676.

Almost surely, 210088017754896 is an apocalyptic number.

10088017754896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10088017754896 is the 3176164-th square number.

It is an amenable number.

10088017754896 is a deficient number, since it is larger than the sum of its proper divisors (9457541260517).

10088017754896 is an frugal number, since it uses more digits than its factorization.

10088017754896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588090 (or 794043 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 64.

Multiplying 10088017754896 by its sum of digits (64), we get a square (645633136313344 = 254093122).

The spelling of 10088017754896 in words is "ten trillion, eighty-eight billion, seventeen million, seven hundred fifty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 794041 1588082 3176164 6352328 12704656 630501109681 1261002219362 2522004438724 5044008877448 10088017754896