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3967938992 = 2417311632887
BaseRepresentation
bin1110110010000001…
…1111000110110000
3101020112101012000102
43230200133012300
531111243021432
61453422411532
7200220632153
oct35440370660
911215335012
103967938992
111756886326
12928a30ba8
134b30a75c4
14298da9c9a
15183540962
hexec81f1b0

3967938992 has 80 divisors (see below), whose sum is σ = 8457172992. Its totient is φ = 1795322880.

The previous prime is 3967938983. The next prime is 3967939013. The reversal of 3967938992 is 2998397693.

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, 1372973 + ... + 1375859.

Almost surely, 23967938992 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 3967938992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228586496).

3967938992 is an abundant number, since it is smaller than the sum of its proper divisors (4489234000).

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

3967938992 is a wasteful number, since it uses less digits than its factorization.

3967938992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3100 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 65.

The square root of 3967938992 is about 62991.5787387489. The cubic root of 3967938992 is about 1583.1485301528.

The spelling of 3967938992 in words is "three billion, nine hundred sixty-seven million, nine hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 163 248 272 326 496 527 652 1054 1304 2108 2608 2771 2887 4216 5053 5542 5774 8432 10106 11084 11548 20212 22168 23096 40424 44336 46192 49079 80848 85901 89497 98158 171802 178994 196316 343604 357988 392632 470581 687208 715976 785264 941162 1374416 1431952 1521449 1882324 3042898 3764648 6085796 7529296 7999877 12171592 14588011 15999754 24343184 29176022 31999508 58352044 63999016 116704088 127998032 233408176 247996187 495992374 991984748 1983969496 3967938992