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3649906944 = 28321739157
BaseRepresentation
bin1101100110001101…
…0010100100000000
3100102100221111001200
43121203102210000
524433334010234
61402102101200
7156306461055
oct33143224400
910370844050
103649906944
111603306122
1285a41a800
13462235068
14268a6102c
1516566dd99
hexd98d2900

3649906944 has 108 divisors (see below), whose sum is σ = 10585567356. Its totient is φ = 1209470976.

The previous prime is 3649906937. The next prime is 3649907003. The reversal of 3649906944 is 4496099463.

It can be written as a sum of positive squares in 2 ways, for example, as 1945868544 + 1704038400 = 44112^2 + 41280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394014 + ... + 403170.

Almost surely, 23649906944 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 3649906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292783678).

3649906944 is an abundant number, since it is smaller than the sum of its proper divisors (6935660412).

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

3649906944 is a wasteful number, since it uses less digits than its factorization.

3649906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 3649906944 is about 60414.4597261285. The cubic root of 3649906944 is about 1539.6686395628.

The spelling of 3649906944 in words is "three billion, six hundred forty-nine million, nine hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 519 576 692 768 1038 1152 1384 1557 2076 2304 2768 3114 4152 5536 6228 8304 9157 11072 12456 16608 18314 22144 24912 27471 33216 36628 44288 49824 54942 66432 73256 82413 99648 109884 132864 146512 164826 199296 219768 293024 329652 398592 439536 586048 659304 879072 1172096 1318608 1584161 1758144 2344192 2637216 3168322 3516288 4752483 5274432 6336644 7032576 9504966 10548864 12673288 14257449 19009932 21097728 25346576 28514898 38019864 50693152 57029796 76039728 101386304 114059592 152079456 202772608 228119184 304158912 405545216 456238368 608317824 912476736 1216635648 1824953472 3649906944