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12500271611680 = 255200273390101
BaseRepresentation
bin1011010111100111001000…
…1111111011111100100000
31122021000101102101010012211
42311321302033323330200
53114301024013033210
642330313454531504
72430054245364556
oct265716217737440
948230342333184
1012500271611680
113a8a376497166
12149a777806b94
136c8a02ba8c18
14313032d05bd6
1516a26280638a
hexb5e723fbf20

12500271611680 has 48 divisors (see below), whose sum is σ = 29532114844344. Its totient is φ = 5000070860800.

The previous prime is 12500271611671. The next prime is 12500271611699. The reversal of 12500271611680 is 8611617200521.

It can be written as a sum of positive squares in 4 ways, for example, as 9880133719824 + 2620137891856 = 3143268^2 + 1618684^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31848630 + ... + 32238730.

Almost surely, 212500271611680 is an apocalyptic number.

12500271611680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12500271611680 is an abundant number, since it is smaller than the sum of its proper divisors (17031843232664).

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

12500271611680 is a wasteful number, since it uses less digits than its factorization.

12500271611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590389 (or 590381 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 12500271611680 in words is "twelve trillion, five hundred billion, two hundred seventy-one million, six hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 200273 390101 400546 780202 801092 1001365 1560404 1602184 1950505 2002730 3120808 3204368 3901010 4005460 6241616 6408736 7802020 8010920 12483232 15604040 16021840 31208080 32043680 62416160 78126697573 156253395146 312506790292 390633487865 625013580584 781266975730 1250027161168 1562533951460 2500054322336 3125067902920 6250135805840 12500271611680