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102444622470 = 232522933115017
BaseRepresentation
bin101111101101000101…
…1001110001010000110
3100210102112122000211200
41133122023032022012
53134301310404340
6115021251443330
710254446631501
oct1373213161206
9323375560750
10102444622470
113a4a0356153
1217a305b6546
13987811cc08
144d5b9b8138
1529e8b77330
hex17da2ce286

102444622470 has 96 divisors (see below), whose sum is σ = 268345228320. Its totient is φ = 27115292160.

The previous prime is 102444622459. The next prime is 102444622531. The reversal of 102444622470 is 74226444201.

102444622470 is a `hidden beast` number, since 1 + 0 + 24 + 4 + 4 + 622 + 4 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6814402 + ... + 6829418.

It is an arithmetic number, because the mean of its divisors is an integer number (2795262795).

Almost surely, 2102444622470 is an apocalyptic number.

102444622470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102444622470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134172614160).

102444622470 is an abundant number, since it is smaller than the sum of its proper divisors (165900605850).

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

102444622470 is a wasteful number, since it uses less digits than its factorization.

102444622470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15590 (or 15587 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 102444622470 in words is "one hundred two billion, four hundred forty-four million, six hundred twenty-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 331 458 662 687 993 1145 1374 1655 1986 2061 2290 2979 3310 3435 4122 4965 5958 6870 9930 10305 14895 15017 20610 29790 30034 45051 75085 75799 90102 135153 150170 151598 225255 227397 270306 378995 450510 454794 675765 682191 757990 1136985 1351530 1364382 2273970 3410955 3438893 4970627 6821910 6877786 9941254 10316679 14911881 17194465 20633358 24853135 29823762 30950037 34388930 44735643 49706270 51583395 61900074 74559405 89471286 103166790 149118810 154750185 223678215 309500370 447356430 1138273583 2276547166 3414820749 5691367915 6829641498 10244462247 11382735830 17074103745 20488924494 34148207490 51222311235 102444622470