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32125157000 = 2353712232029
BaseRepresentation
bin11101111010110011…
…101111111010001000
310001220212011001201122
4131322303233322020
51011243020011000
622431425334412
72215043220566
oct357263577210
9101825131648
1032125157000
11126958a4a32
126286797408
13304c750751
1417aa7a2a36
15c804b0085
hex77acefe88

32125157000 has 128 divisors (see below), whose sum is σ = 76611225600. Its totient is φ = 12606048000.

The previous prime is 32125156993. The next prime is 32125157017. The reversal of 32125157000 is 75152123.

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, 15831986 + ... + 15834014.

It is an arithmetic number, because the mean of its divisors is an integer number (598525200).

Almost surely, 232125157000 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 32125157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38305612800).

32125157000 is an abundant number, since it is smaller than the sum of its proper divisors (44486068600).

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

32125157000 is a wasteful number, since it uses less digits than its factorization.

32125157000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The spelling of 32125157000 in words is "thirty-two billion, one hundred twenty-five million, one hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 223 250 284 355 446 500 568 710 892 1000 1115 1420 1775 1784 2029 2230 2840 3550 4058 4460 5575 7100 8116 8875 8920 10145 11150 14200 15833 16232 17750 20290 22300 27875 31666 35500 40580 44600 50725 55750 63332 71000 79165 81160 101450 111500 126664 144059 158330 202900 223000 253625 288118 316660 395825 405800 452467 507250 576236 633320 720295 791650 904934 1014500 1152472 1440590 1583300 1809868 1979125 2029000 2262335 2881180 3166600 3601475 3619736 3958250 4524670 5762360 7202950 7916500 9049340 11311675 14405900 15833000 18007375 18098680 22623350 28811800 32125157 36014750 45246700 56558375 64250314 72029500 90493400 113116750 128500628 144059000 160625785 226233500 257001256 321251570 452467000 642503140 803128925 1285006280 1606257850 3212515700 4015644625 6425031400 8031289250 16062578500 32125157000