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157073688 = 23332333121
BaseRepresentation
bin10010101110011…
…00000100011000
3101221120011121000
421113030010120
5310202324223
623330345000
73615050532
oct1127140430
9357504530
10157073688
1180733872
124472b160
1326707815
1416c0a852
15dbca543
hex95cc118

157073688 has 64 divisors (see below), whose sum is σ = 438328800. Its totient is φ = 52116480.

The previous prime is 157073663. The next prime is 157073689. The reversal of 157073688 is 886370751.

157073688 is a `hidden beast` number, since 1 + 570 + 73 + 6 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157073689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48768 + ... + 51888.

Almost surely, 2157073688 is an apocalyptic number.

157073688 is a gapful number since it is divisible by the number (18) 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 157073688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219164400).

157073688 is an abundant number, since it is smaller than the sum of its proper divisors (281255112).

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

157073688 is a wasteful number, since it uses less digits than its factorization.

157073688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 157073688 is about 12532.9042125120. The cubic root of 157073688 is about 539.5534580035.

The spelling of 157073688 in words is "one hundred fifty-seven million, seventy-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 233 466 699 932 1398 1864 2097 2796 3121 4194 5592 6242 6291 8388 9363 12484 12582 16776 18726 24968 25164 28089 37452 50328 56178 74904 84267 112356 168534 224712 337068 674136 727193 1454386 2181579 2908772 4363158 5817544 6544737 8726316 13089474 17452632 19634211 26178948 39268422 52357896 78536844 157073688