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42350532100 = 225215122312577
BaseRepresentation
bin100111011100010010…
…011101011000000100
311001022110222221100221
4213130102131120010
51143213214011400
631242222514124
73026325404032
oct473422353004
9131273887327
1042350532100
1116a62853658
12825b135944
133cbc03b066
14209a831552
15117d03ac1a
hex9dc49d604

42350532100 has 72 divisors (see below), whose sum is σ = 92931496448. Its totient is φ = 16751232000.

The previous prime is 42350532089. The next prime is 42350532113. The reversal of 42350532100 is 123505324.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3361012 + ... + 3373588.

Almost surely, 242350532100 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 42350532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46465748224).

42350532100 is an abundant number, since it is smaller than the sum of its proper divisors (50580964348).

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

42350532100 is a wasteful number, since it uses less digits than its factorization.

42350532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12965 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 42350532100 in words is "forty-two billion, three hundred fifty million, five hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 223 302 446 604 755 892 1115 1510 2230 3020 3775 4460 5575 7550 11150 12577 15100 22300 25154 33673 50308 62885 67346 125770 134692 168365 251540 314425 336730 628850 673460 841825 1257700 1683650 1899127 2804671 3367300 3798254 5609342 7596508 9495635 11218684 14023355 18991270 28046710 37982540 47478175 56093420 70116775 94956350 140233550 189912700 280467100 423505321 847010642 1694021284 2117526605 4235053210 8470106420 10587633025 21175266050 42350532100