Search a number
-
+
60080157504 = 2632176135637
BaseRepresentation
bin110111111101000011…
…100111001101000000
312202002002102020011200
4313331003213031000
51441021010020004
643333410141200
74224561625023
oct677503471500
9182062366150
1060080157504
1123530756634
12b788881800
135886244173
142c9d39b1ba
1518697d8239
hexdfd0e7340

60080157504 has 84 divisors (see below), whose sum is σ = 182338890084. Its totient is φ = 18848673792.

The previous prime is 60080157491. The next prime is 60080157509. The reversal of 60080157504 is 40575108006.

60080157504 is a `hidden beast` number, since 6 + 0 + 0 + 80 + 1 + 575 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20064155904 + 40016001600 = 141648^2 + 200040^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60080157509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3058027 + ... + 3077610.

Almost surely, 260080157504 is an apocalyptic number.

60080157504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

60080157504 is an abundant number, since it is smaller than the sum of its proper divisors (122258732580).

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

60080157504 is a wasteful number, since it uses less digits than its factorization.

60080157504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135672 (or 6135659 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 60080157504 in words is "sixty billion, eighty million, one hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 6135637 12271274 18406911 24542548 36813822 49085096 55220733 73627644 98170192 104305829 110441466 147255288 196340384 208611658 220882932 294510576 312917487 392680768 417223316 441765864 589021152 625834974 834446632 883531728 938752461 1178042304 1251669948 1668893264 1767063456 1877504922 2503339896 3337786528 3534126912 3755009844 5006679792 6675573056 7510019688 10013359584 15020039376 20026719168 30040078752 60080157504