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155005160256 = 2632269106181
BaseRepresentation
bin1001000001011100000…
…1110000101101000000
3112211002120112222222100
42100113001300231000
510014422310112011
6155113002310400
714125113060132
oct2202701605500
9484076488870
10155005160256
115a812410131
122605aab8400
13118034c6a4b
1477063d7052
154073204d56
hex2417070b40

155005160256 has 42 divisors (see below), whose sum is σ = 444294306482. Its totient is φ = 51668386560.

The previous prime is 155005160221. The next prime is 155005160269. The reversal of 155005160256 is 652061500551.

155005160256 is a `hidden beast` number, since 1 + 550 + 0 + 51 + 6 + 0 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151931566656 + 3073593600 = 389784^2 + 55440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 155005160256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134552515 + ... + 134553666.

Almost surely, 2155005160256 is an apocalyptic number.

155005160256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

155005160256 is an abundant number, since it is smaller than the sum of its proper divisors (289289146226).

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

155005160256 is a wasteful number, since it uses less digits than its factorization.

155005160256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269106199 (or 269106186 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 155005160256 in words is "one hundred fifty-five billion, five million, one hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 269106181 538212362 807318543 1076424724 1614637086 2152849448 2421955629 3229274172 4305698896 4843911258 6458548344 8611397792 9687822516 12917096688 17222795584 19375645032 25834193376 38751290064 51668386752 77502580128 155005160256