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157845052300 = 2252131019371283
BaseRepresentation
bin1001001100000001001…
…1000101101110001100
3120002102111022110111011
42103000103011232030
510041231313133200
6200302451135004
714255355543565
oct2230023055614
9502374273434
10157845052300
1160a3a465051
1226711ba4464
1311b66980640
1478d564316c
15418c6be5ba
hex24c04c5b8c

157845052300 has 144 divisors (see below), whose sum is σ = 373212175392. Its totient is φ = 57597696000.

The previous prime is 157845052247. The next prime is 157845052307. The reversal of 157845052300 is 3250548751.

It is a super-3 number, since 3×1578450523003 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (157845052307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123027459 + ... + 123028741.

It is an arithmetic number, because the mean of its divisors is an integer number (2591751218).

Almost surely, 2157845052300 is an apocalyptic number.

157845052300 is a gapful number since it is divisible by the number (10) 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 157845052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186606087696).

157845052300 is an abundant number, since it is smaller than the sum of its proper divisors (215367123092).

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

157845052300 is a wasteful number, since it uses less digits than its factorization.

157845052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 157845052300 in words is "one hundred fifty-seven billion, eight hundred forty-five million, fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 650 937 1010 1283 1300 1313 1874 2020 2525 2566 2626 3748 4685 5050 5132 5252 6415 6565 9370 10100 12181 12830 13130 16679 18740 23425 24362 25660 26260 32075 32825 33358 46850 48724 60905 64150 65650 66716 83395 93700 94637 121810 128300 129583 131300 166790 189274 243620 259166 304525 333580 378548 416975 473185 518332 609050 647915 833950 946370 1202171 1218100 1230281 1295830 1667900 1684579 1892740 2365925 2404342 2460562 2591660 3239575 3369158 4731850 4808684 4921124 6010855 6151405 6479150 6738316 8422895 9463700 12021710 12302810 12958300 15628223 16845790 24043420 24605620 30054275 30757025 31256446 33691580 42114475 60108550 61514050 62512892 78141115 84228950 120217100 121419271 123028100 156282230 168457900 242838542 312564460 390705575 485677084 607096355 781411150 1214192710 1562822300 1578450523 2428385420 3035481775 3156901046 6070963550 6313802092 7892252615 12141927100 15784505230 31569010460 39461263075 78922526150 157845052300