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157668162232 = 237193601683
BaseRepresentation
bin1001001011010111000…
…0010011101010111000
3120001222011110111221011
42102311300103222320
510040401022142412
6200233131523304
714251110160240
oct2226560235270
9501864414834
10157668162232
1160959626a09
12266828b9534
1311b39128169
1478b9d58b20
15417bdcc7a7
hex24b5c13ab8

157668162232 has 128 divisors (see below), whose sum is σ = 357744038400. Its totient is φ = 63815558400.

The previous prime is 157668162173. The next prime is 157668162283. The reversal of 157668162232 is 232261866751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230846163 + ... + 230846845.

It is an arithmetic number, because the mean of its divisors is an integer number (2794875300).

Almost surely, 2157668162232 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 157668162232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178872019200).

157668162232 is an abundant number, since it is smaller than the sum of its proper divisors (200075876168).

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

157668162232 is an equidigital number, since it uses as much as digits as its factorization.

157668162232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1312 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The spelling of 157668162232 in words is "one hundred fifty-seven billion, six hundred sixty-eight million, one hundred sixty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 601 683 722 1064 1202 1366 1444 2404 2527 2732 2888 4207 4781 4808 5054 5464 6859 8414 9562 10108 11419 12977 13718 16828 19124 20216 22838 25954 27436 33656 38248 45676 48013 51908 54872 79933 90839 91352 96026 103816 159866 181678 192052 216961 246563 319732 363356 384104 410483 433922 493126 639464 726712 820966 867844 986252 1518727 1641932 1725941 1735688 1972504 2873381 3037454 3283864 3451882 4122259 4684697 5746762 6074908 6903764 7799177 8244518 9369394 11493524 12149816 13807528 15598354 16489036 18738788 22987048 28855813 31196708 32792879 32978072 37477576 54594239 57711626 62393416 65585758 109188478 115423252 131171516 148184363 218376956 230846504 262343032 296368726 436753912 592737452 1037290541 1185474904 2074581082 2815502897 4149162164 5631005794 8298324328 11262011588 19708520279 22524023176 39417040558 78834081116 157668162232