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157006633236 = 2231743139128767
BaseRepresentation
bin1001001000111001010…
…0110001100100010100
3120000021001200100202020
42102032110301210110
510033022144230421
6200043341013140
714225525235255
oct2221624614424
9500231610666
10157006633236
116064a173432
12265192541b0
1311a6206869b
147856156b2c
15413dca8dc6
hex248e531914

157006633236 has 96 divisors (see below), whose sum is σ = 399778283520. Its totient is φ = 47764975104.

The previous prime is 157006633229. The next prime is 157006633237. The reversal of 157006633236 is 632336600751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157006633237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1154925 + ... + 1283691.

It is an arithmetic number, because the mean of its divisors is an integer number (4164357120).

Almost surely, 2157006633236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157006633236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199889141760).

157006633236 is an abundant number, since it is smaller than the sum of its proper divisors (242771650284).

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

157006633236 is a wasteful number, since it uses less digits than its factorization.

157006633236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128973 (or 128971 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 157006633236 in words is "one hundred fifty-seven billion, six million, six hundred thirty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 139 172 204 258 278 417 516 556 731 834 1462 1668 2193 2363 2924 4386 4726 5977 7089 8772 9452 11954 14178 17931 23908 28356 35862 71724 101609 128767 203218 257534 304827 386301 406436 515068 609654 772602 1219308 1545204 2189039 4378078 5536981 6567117 8756156 11073962 13134234 16610943 17898613 22147924 26268468 33221886 35797226 53695839 66443772 71594452 94128677 107391678 188257354 214783356 282386031 304276421 376514708 564772062 608552842 769640359 912829263 1129544124 1217105684 1539280718 1825658526 2308921077 3078561436 3651317052 4617842154 9235684308 13083886103 26167772206 39251658309 52335544412 78503316618 157006633236