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157153830912 = 21137132699
BaseRepresentation
bin1001001001011100011…
…0010010100000000000
3120000122022122210000000
42102113012102200000
510033322340042122
6200110120000000
714232263344101
oct2222706224000
9500568583000
10157153830912
1160715271201
122655a600000
1311a866c5bc0
14786b9123a8
15414bb830ac
hex2497192800

157153830912 has 384 divisors, whose sum is σ = 507714480000. Its totient is φ = 48337108992.

The previous prime is 157153830871. The next prime is 157153830973. The reversal of 157153830912 is 219038351751.

157153830912 is a `hidden beast` number, since 1 + 5 + 71 + 538 + 30 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58225339 + ... + 58228037.

It is an arithmetic number, because the mean of its divisors is an integer number (1322173125).

Almost surely, 2157153830912 is an apocalyptic number.

157153830912 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 157153830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253857240000).

157153830912 is an abundant number, since it is smaller than the sum of its proper divisors (350560649088).

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

157153830912 is an frugal number, since it uses more digits than its factorization.

157153830912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 157153830912 in words is "one hundred fifty-seven billion, one hundred fifty-three million, eight hundred thirty thousand, nine hundred twelve".