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157464000000 = 293956
BaseRepresentation
bin1001001010100110010…
…1011111011000000000
3120001102221022000000000
42102221211133120000
510034441241000000
6200201000000000
714243050626126
oct2225145373000
9501387260000
10157464000000
116086436089a
1226626460000
1311b05a444c8
14789abb1916
154169000000
hex24a995f600

157464000000 has 700 divisors, whose sum is σ = 589895808612. Its totient is φ = 41990400000.

The previous prime is 157463999947. The next prime is 157464000049. The reversal of 157464000000 is 464751.

The cubic root of 157464000000 is 5400.

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

157464000000 is a `hidden beast` number, since 15 + 7 + 4 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1574640000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 31492799998 + ... + 31492800002.

Almost surely, 2157464000000 is an apocalyptic number.

157464000000 is a gapful number since it is divisible by the number (10) 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 157464000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294947904306).

157464000000 is an abundant number, since it is smaller than the sum of its proper divisors (432431808612).

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

157464000000 is an frugal number, since it uses more digits than its factorization.

157464000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Multiplying 157464000000 by its sum of digits (27), we get a cube (4251528000000 = 162003).

157464000000 divided by its sum of digits (27) gives a cube (5832000000 = 18003).

Adding to 157464000000 its reverse (464751), we get a palindrome (157464464751).

The spelling of 157464000000 in words is "one hundred fifty-seven billion, four hundred sixty-four million", and thus it is an aban number.