Search a number
-
+
155263936512 = 2113174313449
BaseRepresentation
bin1001000010011001110…
…0111010100000000000
3112211202121111012021010
42100212130322200000
510020440031432022
6155154405000520
714134404453636
oct2204634724000
9484677435233
10155263936512
115a935498603
12261116b3140
1311844cbcca9
14772c919356
15408acbe50c
hex242673a800

155263936512 has 192 divisors, whose sum is σ = 439429536000. Its totient is φ = 48583147520.

The previous prime is 155263936507. The next prime is 155263936519. The reversal of 155263936512 is 215639362551.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1552639365122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (155263936519) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45015364 + ... + 45018812.

It is an arithmetic number, because the mean of its divisors is an integer number (2288695500).

Almost surely, 2155263936512 is an apocalyptic number.

155263936512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155263936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219714768000).

155263936512 is an abundant number, since it is smaller than the sum of its proper divisors (284165599488).

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

155263936512 is a wasteful number, since it uses less digits than its factorization.

155263936512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3902 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 48.

The spelling of 155263936512 in words is "one hundred fifty-five billion, two hundred sixty-three million, nine hundred thirty-six thousand, five hundred twelve".