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7994686440 = 2335135986861
BaseRepresentation
bin1110111001000010…
…10011101111101000
3202122011102011001210
413130201103233220
5112333114431230
63401145513120
7402054466506
oct73441235750
922564364053
107994686440
113432879284
1216714a27a0
139a54026c0
1455bac3676
1531bceaeb0
hex1dc853be8

7994686440 has 128 divisors (see below), whose sum is σ = 26267068800. Its totient is φ = 1934545920.

The previous prime is 7994686421. The next prime is 7994686457. The reversal of 7994686440 is 446864997.

It is a super-2 number, since 2×79946864402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48610 + ... + 135470.

It is an arithmetic number, because the mean of its divisors is an integer number (205211475).

Almost surely, 27994686440 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 7994686440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13133534400).

7994686440 is an abundant number, since it is smaller than the sum of its proper divisors (18272382360).

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

7994686440 is a wasteful number, since it uses less digits than its factorization.

7994686440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86947 (or 86943 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The square root of 7994686440 is about 89413.0104626838. The cubic root of 7994686440 is about 1999.5571052627.

The spelling of 7994686440 in words is "seven billion, nine hundred ninety-four million, six hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 59 60 65 78 104 118 120 130 156 177 195 236 260 295 312 354 390 472 520 590 708 767 780 885 1180 1416 1534 1560 1770 2301 2360 3068 3540 3835 4602 6136 7080 7670 9204 11505 15340 18408 23010 30680 46020 86861 92040 173722 260583 347444 434305 521166 694888 868610 1042332 1129193 1302915 1737220 2084664 2258386 2605830 3387579 3474440 4516772 5124799 5211660 5645965 6775158 9033544 10249598 10423320 11291930 13550316 15374397 16937895 20499196 22583860 25623995 27100632 30748794 33875790 40998392 45167720 51247990 61497588 66622387 67751580 76871985 102495980 122995176 133244774 135503160 153743970 199867161 204991960 266489548 307487940 333111935 399734322 532979096 614975880 666223870 799468644 999335805 1332447740 1598937288 1998671610 2664895480 3997343220 7994686440