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31984279680 = 2735109115269
BaseRepresentation
bin11101110010011010…
…010110000010000000
310001120001001202101010
4131302122112002000
51011000433422210
622405434040520
72211412614543
oct356232260200
9101501052333
1031984279680
11126233237a1
126247579140
1330294c6ca2
141795bb085a
15c72e33920
hex772696080

31984279680 has 128 divisors (see below), whose sum is σ = 102050020800. Its totient is φ = 8520765440.

The previous prime is 31984279643. The next prime is 31984279687. The reversal of 31984279680 is 8697248913.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 31984279680.

It is not an unprimeable number, because it can be changed into a prime (31984279687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2087086 + ... + 2102354.

Almost surely, 231984279680 is an apocalyptic number.

31984279680 is a gapful number since it is divisible by the number (30) 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 31984279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51025010400).

31984279680 is an abundant number, since it is smaller than the sum of its proper divisors (70065741120).

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

31984279680 is a wasteful number, since it uses less digits than its factorization.

31984279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16382 (or 16370 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 31984279680 in words is "thirty-one billion, nine hundred eighty-four million, two hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1091 1920 2182 3273 4364 5455 6546 8728 10910 13092 15269 16365 17456 21820 26184 30538 32730 34912 43640 45807 52368 61076 65460 69824 76345 87280 91614 104736 122152 130920 139648 152690 174560 183228 209472 229035 244304 261840 305380 349120 366456 418944 458070 488608 523680 610760 698240 732912 916140 977216 1047360 1221520 1465824 1832280 1954432 2094720 2443040 2931648 3664560 4886080 5863296 7329120 9772160 14658240 16658479 29316480 33316958 49975437 66633916 83292395 99950874 133267832 166584790 199901748 249877185 266535664 333169580 399803496 499754370 533071328 666339160 799606992 999508740 1066142656 1332678320 1599213984 1999017480 2132285312 2665356640 3198427968 3998034960 5330713280 6396855936 7996069920 10661426560 15992139840 31984279680