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102429483520 = 295713439687
BaseRepresentation
bin101111101100101000…
…1011110001000000000
3100210101111010220002211
41133121101132020000
53134233421433040
6115015551151504
710254204146560
oct1373121361000
9323344126084
10102429483520
113a492856021
1217a27515594
139874c4c260
144d59996da0
1529e76868ea
hex17d945e200

102429483520 has 160 divisors (see below), whose sum is σ = 302266153728. Its totient is φ = 32417169408.

The previous prime is 102429483433. The next prime is 102429483547. The reversal of 102429483520 is 25384924201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 13117 + ... + 452803.

Almost surely, 2102429483520 is an apocalyptic number.

102429483520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102429483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151133076864).

102429483520 is an abundant number, since it is smaller than the sum of its proper divisors (199836670208).

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

102429483520 is an equidigital number, since it uses as much as digits as its factorization.

102429483520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439730 (or 439714 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 102429483520 in words is "one hundred two billion, four hundred twenty-nine million, four hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 512 520 560 640 728 832 896 910 1040 1120 1280 1456 1664 1792 1820 2080 2240 2560 2912 3328 3584 3640 4160 4480 5824 6656 7280 8320 8960 11648 14560 16640 17920 23296 29120 33280 46592 58240 116480 232960 439687 879374 1758748 2198435 3077809 3517496 4396870 5715931 6155618 7034992 8793740 11431862 12311236 14069984 15389045 17587480 22863724 24622472 28139968 28579655 30778090 35174960 40011517 45727448 49244944 56279936 57159310 61556180 70349920 80023034 91454896 98489888 112559872 114318620 123112360 140699840 160046068 182909792 196979776 200057585 225119744 228637240 246224720 281399680 320092136 365819584 393959552 400115170 457274480 492449440 562799360 640184272 731639168 787919104 800230340 914548960 984898880 1125598720 1280368544 1463278336 1575838208 1600460680 1829097920 1969797760 2560737088 2926556672 3200921360 3658195840 3939595520 5121474176 6401842720 7316391680 7879191040 10242948352 12803685440 14632783360 20485896704 25607370880 51214741760 102429483520