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157672058544 = 243571121329127
BaseRepresentation
bin1001001011010111111…
…1001010111010110000
3120001222102210110200000
42102311333022322300
510040403021333134
6200233351230000
714251155245610
oct2226577127260
9501872713600
10157672058544
1160960848300
1226684078300
1311b39b90780
1478ba690a40
15417c3ebe99
hex24b5fcaeb0

157672058544 has 1440 divisors, whose sum is σ = 645452021760. Its totient is φ = 36212520960.

The previous prime is 157672058513. The next prime is 157672058561. The reversal of 157672058544 is 445850276751.

It is a happy number.

157672058544 is a `hidden beast` number, since 1 + 5 + 76 + 7 + 20 + 5 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1241512209 + ... + 1241512335.

Almost surely, 2157672058544 is an apocalyptic number.

157672058544 is a gapful number since it is divisible by the number (14) 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 157672058544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322726010880).

157672058544 is an abundant number, since it is smaller than the sum of its proper divisors (487779963216).

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

157672058544 is a wasteful number, since it uses less digits than its factorization.

157672058544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 157672058544 in words is "one hundred fifty-seven billion, six hundred seventy-two million, fifty-eight thousand, five hundred forty-four".