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157630617150 = 235237181115683
BaseRepresentation
bin1001001011001110000…
…1000101011000111110
3120001212112211000202120
42102303201011120332
510040311414222100
6200225311103410
714250143065326
oct2226341053076
9501775730676
10157630617150
116093a412816
1226672211b66
1311b31410b36
1478b4d84286
1541789630a0
hex24b384563e

157630617150 has 96 divisors (see below), whose sum is σ = 401736751488. Its totient is φ = 40873564800.

The previous prime is 157630617143. The next prime is 157630617211. The reversal of 157630617150 is 51716036751.

157630617150 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1576306171502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10043209 + ... + 10058891.

It is an arithmetic number, because the mean of its divisors is an integer number (4184757828).

Almost surely, 2157630617150 is an apocalyptic number.

157630617150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157630617150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200868375744).

157630617150 is an abundant number, since it is smaller than the sum of its proper divisors (244106134338).

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

157630617150 is a wasteful number, since it uses less digits than its factorization.

157630617150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17546 (or 17541 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 157630617150 in words is "one hundred fifty-seven billion, six hundred thirty million, six hundred seventeen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1811 1850 2775 3622 5433 5550 9055 10866 15683 18110 27165 31366 45275 47049 54330 67007 78415 90550 94098 134014 135825 156830 201021 235245 271650 335035 392075 402042 470490 580271 670070 784150 1005105 1160542 1176225 1675175 1740813 2010210 2352450 2901355 3350350 3481626 5025525 5802710 8704065 10051050 14506775 17408130 28401913 29013550 43520325 56803826 85205739 87040650 142009565 170411478 284019130 426028695 710047825 852057390 1050870781 1420095650 2101741562 2130143475 3152612343 4260286950 5254353905 6305224686 10508707810 15763061715 26271769525 31526123430 52543539050 78815308575 157630617150