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5643918640 = 2451673831103
BaseRepresentation
bin1010100000110011…
…10101110100110000
3112120100000202212201
411100121311310300
543024320344030
62332012432544
7256601342203
oct52031656460
915510022781
105643918640
112436932678
121116178754
136bc393839
143b77db93a
1523074c2ca
hex150675d30

5643918640 has 80 divisors (see below), whose sum is σ = 13247152128. Its totient is φ = 2236160768.

The previous prime is 5643918613. The next prime is 5643918659. The reversal of 5643918640 is 468193465.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×56439186402 = 63707635229878899200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 5116329 + ... + 5117431.

Almost surely, 25643918640 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 5643918640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623576064).

5643918640 is an abundant number, since it is smaller than the sum of its proper divisors (7603233488).

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

5643918640 is a wasteful number, since it uses less digits than its factorization.

5643918640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 5643918640 is about 75126.0183957595. The cubic root of 5643918640 is about 1780.4382458358.

The spelling of 5643918640 in words is "five billion, six hundred forty-three million, nine hundred eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 383 668 766 835 1103 1336 1532 1670 1915 2206 2672 3064 3340 3830 4412 5515 6128 6680 7660 8824 11030 13360 15320 17648 22060 30640 44120 63961 88240 127922 184201 255844 319805 368402 422449 511688 639610 736804 844898 921005 1023376 1279220 1473608 1689796 1842010 2112245 2558440 2947216 3379592 3684020 4224490 5116880 6759184 7368040 8448980 14736080 16897960 33795920 70548983 141097966 282195932 352744915 564391864 705489830 1128783728 1410979660 2821959320 5643918640