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57629379720 = 233511229190649
BaseRepresentation
bin110101101010111110…
…101000110010001000
312111202021211211002010
4311222332220302020
51421011110122340
642250301335520
74110052434213
oct655276506210
9174667754063
1057629379720
1122493311a50
12b203b675a0
13558558a0b3
142b09ac077a
151774581b80
hexd6afa8c88

57629379720 has 128 divisors (see below), whose sum is σ = 189429840000. Its totient is φ = 13909678080.

The previous prime is 57629379713. The next prime is 57629379763. The reversal of 57629379720 is 2797392675.

57629379720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×576293797202 (a number of 22 digits) contains 22 as substring.

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, 206956 + ... + 397604.

It is an arithmetic number, because the mean of its divisors is an integer number (1479920625).

Almost surely, 257629379720 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 57629379720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94714920000).

57629379720 is an abundant number, since it is smaller than the sum of its proper divisors (131800460280).

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

57629379720 is a wasteful number, since it uses less digits than its factorization.

57629379720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190903 (or 190899 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 57.

The spelling of 57629379720 in words is "fifty-seven billion, six hundred twenty-nine million, three hundred seventy-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 229 264 330 440 458 660 687 916 1145 1320 1374 1832 2290 2519 2748 3435 4580 5038 5496 6870 7557 9160 10076 12595 13740 15114 20152 25190 27480 30228 37785 50380 60456 75570 100760 151140 190649 302280 381298 571947 762596 953245 1143894 1525192 1906490 2097139 2287788 2859735 3812980 4194278 4575576 5719470 6291417 7625960 8388556 10485695 11438940 12582834 16777112 20971390 22877880 25165668 31457085 41942780 43658621 50331336 62914170 83885560 87317242 125828340 130975863 174634484 218293105 251656680 261951726 349268968 436586210 480244831 523903452 654879315 873172420 960489662 1047806904 1309758630 1440734493 1746344840 1920979324 2401224155 2619517260 2881468986 3841958648 4802448310 5239034520 5762937972 7203672465 9604896620 11525875944 14407344930 19209793240 28814689860 57629379720