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5949655040 = 2115783003
BaseRepresentation
bin1011000101010000…
…01000100000000000
3120100122022210101002
411202220020200000
544141102430130
62422213431132
7300303143030
oct54250104000
916318283332
105949655040
11258347498a
1211a063b4a8
1373a81c654
144062658c0
1524c4e0b45
hex162a08800

5949655040 has 96 divisors (see below), whose sum is σ = 16315266240. Its totient is φ = 2039857152.

The previous prime is 5949655037. The next prime is 5949655081. The reversal of 5949655040 is 405569495.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30179 + ... + 113181.

It is an arithmetic number, because the mean of its divisors is an integer number (169950690).

Almost surely, 25949655040 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 5949655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157633120).

5949655040 is an abundant number, since it is smaller than the sum of its proper divisors (10365611200).

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

5949655040 is an equidigital number, since it uses as much as digits as its factorization.

5949655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83037 (or 83017 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 47.

The square root of 5949655040 is about 77134.0070267324. The cubic root of 5949655040 is about 1812.0239297585.

The spelling of 5949655040 in words is "five billion, nine hundred forty-nine million, six hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4480 5120 7168 8960 10240 14336 17920 35840 71680 83003 166006 332012 415015 581021 664024 830030 1162042 1328048 1660060 2324084 2656096 2905105 3320120 4648168 5312192 5810210 6640240 9296336 10624384 11620420 13280480 18592672 21248768 23240840 26560960 37185344 42497536 46481680 53121920 74370688 84995072 92963360 106243840 148741376 169990144 185926720 212487680 297482752 371853440 424975360 594965504 743706880 849950720 1189931008 1487413760 2974827520 5949655040