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3703920864 = 253722724281
BaseRepresentation
bin1101110011000101…
…0101100011100000
3100120010120200020020
43130301111203200
530041200431424
61411311513440
7160533544050
oct33461254340
910503520206
103703920864
111630848626
12874528880
13470497467
14271cc1560
1516a28d079
hexdcc558e0

3703920864 has 96 divisors (see below), whose sum is σ = 11161172736. Its totient is φ = 1053557760.

The previous prime is 3703920839. The next prime is 3703920877. The reversal of 3703920864 is 4680293073.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 140404 + ... + 164684.

It is an arithmetic number, because the mean of its divisors is an integer number (116262216).

Almost surely, 23703920864 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 3703920864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580586368).

3703920864 is an abundant number, since it is smaller than the sum of its proper divisors (7457251872).

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

3703920864 is a wasteful number, since it uses less digits than its factorization.

3703920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24528 (or 24520 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3703920864 is about 60859.8460727597. The cubic root of 3703920864 is about 1547.2265163441.

The spelling of 3703920864 in words is "three billion, seven hundred three million, nine hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 227 336 454 672 681 908 1362 1589 1816 2724 3178 3632 4767 5448 6356 7264 9534 10896 12712 19068 21792 24281 25424 38136 48562 50848 72843 76272 97124 145686 152544 169967 194248 291372 339934 388496 509901 582744 679868 776992 1019802 1165488 1359736 2039604 2330976 2719472 4079208 5438944 5511787 8158416 11023574 16316832 16535361 22047148 33070722 38582509 44094296 66141444 77165018 88188592 115747527 132282888 154330036 176377184 231495054 264565776 308660072 462990108 529131552 617320144 925980216 1234640288 1851960432 3703920864