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3999373992 = 23321929100811
BaseRepresentation
bin1110111001100001…
…1001101010101000
3101022201112020201200
43232120121222220
531142314431432
61500504244200
7201052055325
oct35630315250
911281466650
103999373992
1117725a6969
12937470660
134b97627b3
1429d22db4c
1518619ea7c
hexee619aa8

3999373992 has 96 divisors (see below), whose sum is σ = 11795004000. Its totient is φ = 1219397760.

The previous prime is 3999373957. The next prime is 3999373999. The reversal of 3999373992 is 2993739993.

3999373992 is a `hidden beast` number, since 399 + 93 + 73 + 9 + 92 = 666.

3999373992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3999373999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10734 + ... + 90077.

It is an arithmetic number, because the mean of its divisors is an integer number (122864625).

Almost surely, 23999373992 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 3999373992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897502000).

3999373992 is an abundant number, since it is smaller than the sum of its proper divisors (7795630008).

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

3999373992 is a wasteful number, since it uses less digits than its factorization.

3999373992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100871 (or 100864 counting only the distinct ones).

The product of its digits is 22320522, while the sum is 63.

The square root of 3999373992 is about 63240.6039819355. The cubic root of 3999373992 is about 1587.3182371680.

The spelling of 3999373992 in words is "three billion, nine hundred ninety-nine million, three hundred seventy-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 684 696 1044 1102 1368 1653 2088 2204 3306 4408 4959 6612 9918 13224 19836 39672 100811 201622 302433 403244 604866 806488 907299 1209732 1814598 1915409 2419464 2923519 3629196 3830818 5746227 5847038 7258392 7661636 8770557 11492454 11694076 15323272 17238681 17541114 22984908 23388152 26311671 34477362 35082228 45969816 52623342 55546861 68954724 70164456 105246684 111093722 137909448 166640583 210493368 222187444 333281166 444374888 499921749 666562332 999843498 1333124664 1999686996 3999373992