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31470664000 = 265316692357
BaseRepresentation
bin11101010011110011…
…000011100101000000
310000020020121101010011
4131103303003211000
51003422442222000
622242445314304
72162605141666
oct352363034500
9100206541104
1031470664000
111238a407726
126123565994
132c76c85699
1417478b2c36
15c42ccb2ba
hex753cc3940

31470664000 has 112 divisors (see below), whose sum is σ = 78016882320. Its totient is φ = 12575385600.

The previous prime is 31470663977. The next prime is 31470664013. The reversal of 31470664000 is 46607413.

It can be written as a sum of positive squares in 8 ways, for example, as 14975885376 + 16494778624 = 122376^2 + 128432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13350822 + ... + 13353178.

Almost surely, 231470664000 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 31470664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39008441160).

31470664000 is an abundant number, since it is smaller than the sum of its proper divisors (46546218320).

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

31470664000 is a wasteful number, since it uses less digits than its factorization.

31470664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 31470664000 in words is "thirty-one billion, four hundred seventy million, six hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 1669 2000 2357 3338 4000 4714 6676 8000 8345 9428 11785 13352 16690 18856 23570 26704 33380 37712 41725 47140 53408 58925 66760 75424 83450 94280 106816 117850 133520 150848 166900 188560 208625 235700 267040 294625 333800 377120 417250 471400 534080 589250 667600 754240 834500 942800 1178500 1335200 1669000 1885600 2357000 2670400 3338000 3771200 3933833 4714000 6676000 7867666 9428000 13352000 15735332 18856000 19669165 31470664 39338330 62941328 78676660 98345825 125882656 157353320 196691650 251765312 314706640 393383300 491729125 629413280 786766600 983458250 1258826560 1573533200 1966916500 3147066400 3933833000 6294132800 7867666000 15735332000 31470664000