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155919157956 = 2234219372
BaseRepresentation
bin1001000100110110000…
…0011000101011000100
3112220110021101220010000
42101031200120223010
510023310301023311
6155343412401300
714156551655352
oct2211540305304
9486407356100
10155919157956
1160141333131
1226275016230
131191a9817a3
1477919587d2
1540c8599056
hex244d818ac4

155919157956 has 45 divisors (see below), whose sum is σ = 407622059229. Its totient is φ = 51970683456.

The previous prime is 155919157951. The next prime is 155919157963. The reversal of 155919157956 is 659751919551.

The square root of 155919157956 is 394866.

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

155919157956 is a `hidden beast` number, since 1 + 5 + 5 + 9 + 1 + 9 + 1 + 579 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25176168900 + 130742989056 = 158670^2 + 361584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 155919157893 and 155919157902.

It is not an unprimeable number, because it can be changed into a prime (155919157951) 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, 7096620 + ... + 7118556.

Almost surely, 2155919157956 is an apocalyptic number.

155919157956 is the 394866-th square number.

It is an amenable number.

155919157956 is an abundant number, since it is smaller than the sum of its proper divisors (251702901273).

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

155919157956 is an frugal number, since it uses more digits than its factorization.

155919157956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43890 (or 21942 counting only the distinct ones).

The product of its digits is 19136250, while the sum is 63.

The spelling of 155919157956 in words is "one hundred fifty-five billion, nine hundred nineteen million, one hundred fifty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 21937 43874 65811 87748 131622 197433 263244 394866 592299 789732 1184598 1776897 2369196 3553794 7107588 481231969 962463938 1443695907 1924927876 2887391814 4331087721 5774783628 8662175442 12993263163 17324350884 25986526326 38979789489 51973052652 77959578978 155919157956