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157272523776 = 210312172
BaseRepresentation
bin1001001001111000101…
…1000100010000000000
3120000221121000000000000
42102132023010100000
510034043231230101
6200130000000000
714235234252324
oct2223613042000
9500847000000
10157272523776
116077626a985
1226592300000
1311aa5182b74
14787d5ab984
1541572cb486
hex249e2c4400

157272523776 has 429 divisors, whose sum is σ = 500959090069. Its totient is φ = 49340399616.

The previous prime is 157272523741. The next prime is 157272523871. The reversal of 157272523776 is 677325272751.

The square root of 157272523776 is 396576.

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

157272523776 is a `hidden beast` number, since 15 + 7 + 2 + 7 + 252 + 377 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122444006400 + 34828517376 = 349920^2 + 186624^2 .

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

It is a Duffinian number.

Its product of digits (8643600) is a multiple of the sum of its prime factors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 9251324920 + ... + 9251324936.

Almost surely, 2157272523776 is an apocalyptic number.

157272523776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157272523776 is the 396576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157272523776

157272523776 is an abundant number, since it is smaller than the sum of its proper divisors (343686566293).

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

157272523776 is an frugal number, since it uses more digits than its factorization.

157272523776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 22 counting only the distinct ones).

The product of its digits is 8643600, while the sum is 54.

The spelling of 157272523776 in words is "one hundred fifty-seven billion, two hundred seventy-two million, five hundred twenty-three thousand, seven hundred seventy-six".