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103955071738896 = 2432721213792
BaseRepresentation
bin10111101000101111101101…
…000111111010010000010000
3111122002000012200120002102100
4113220233231013322100100
5102111144441331121041
61005032144540120400
730616335405215400
oct2750575507722020
9448060180502370
10103955071738896
113013a109991244
12b7ab233236100
134600bc8b5a6a1
141b95649238800
15c0419b2ac6b6
hex5e8bed1fa410

103955071738896 has 135 divisors (see below), whose sum is σ = 338431352975391. Its totient is φ = 29701204368192.

The previous prime is 103955071738877. The next prime is 103955071738897. The reversal of 103955071738896 is 698837170559301.

The square root of 103955071738896 is 10195836.

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

103955071738896 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 5 + 507 + 1 + 7 + 38 + 89 + 6 = 666.

103955071738896 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (103955071738897) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 856389535 + ... + 856510913.

Almost surely, 2103955071738896 is an apocalyptic number.

103955071738896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103955071738896 is the 10195836-th square number.

It is an amenable number.

103955071738896 is an abundant number, since it is smaller than the sum of its proper divisors (234476281236495).

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

103955071738896 is an frugal number, since it uses more digits than its factorization.

103955071738896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242786 (or 121391 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 103955071738896 in words is "one hundred three trillion, nine hundred fifty-five billion, seventy-one million, seven hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 121379 242758 364137 485516 728274 849653 971032 1092411 1456548 1699306 1942064 2184822 2548959 2913096 3398612 4369644 5097918 5826192 5947571 6797224 7646877 8739288 10195836 11895142 13594448 15293754 17478576 17842713 20391672 23790284 30587508 35685426 40783344 47580568 53528139 61175016 71370852 95161136 107056278 122350032 142741704 214112556 285483408 428225112 856450224 14732861641 29465723282 44198584923 58931446564 88397169846 103130031487 117862893128 132595754769 176794339692 206260062974 235725786256 265191509538 309390094461 353588679384 412520125948 530383019076 618780188922 707177358768 721910220409 825040251896 928170283383 1060766038152 1237560377844 1443820440818 1650080503792 1856340566766 2121532076304 2165730661227 2475120755688 2887640881636 3712681133532 4331461322454 4950241511376 5775281763272 6497191983681 7425362267064 8662922644908 11550563526544 12994383967362 14850724534128 17325845289816 25988767934724 34651690579632 51977535869448 103955071738896