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10474325120 = 275723101653
BaseRepresentation
bin10011100000101000…
…11000010010000000
31000000222021211212102
421300110120102000
5132422411400440
64451205045532
7520364203010
oct116024302200
930028254772
1010474325120
114495535546
1220439b68a8
13cac05311c
14715153c40
15414853b15
hex270518480

10474325120 has 128 divisors (see below), whose sum is σ = 29861879040. Its totient is φ = 3435024384.

The previous prime is 10474325033. The next prime is 10474325171. The reversal of 10474325120 is 2152347401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×104743251202 (a number of 21 digits) contains 22 as substring.

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, 52214 + ... + 153866.

It is an arithmetic number, because the mean of its divisors is an integer number (233295930).

Almost surely, 210474325120 is an apocalyptic number.

10474325120 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 10474325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14930939520).

10474325120 is an abundant number, since it is smaller than the sum of its proper divisors (19387553920).

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

10474325120 is a wasteful number, since it uses less digits than its factorization.

10474325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101702 (or 101690 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 10474325120 in words is "ten billion, four hundred seventy-four million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1288 1472 1610 1840 2240 2576 2944 3220 3680 4480 5152 6440 7360 10304 12880 14720 20608 25760 51520 101653 103040 203306 406612 508265 711571 813224 1016530 1423142 1626448 2033060 2338019 2846284 3252896 3557855 4066120 4676038 5692568 6505792 7115710 8132240 9352076 11385136 11690095 13011584 14231420 16264480 16366133 18704152 22770272 23380190 28462840 32528960 32732266 37408304 45540544 46760380 56925680 65057920 65464532 74816608 81830665 91081088 93520760 113851360 130929064 149633216 163661330 187041520 227702720 261858128 299266432 327322660 374083040 455405440 523716256 654645320 748166080 1047432512 1309290640 1496332160 2094865024 2618581280 5237162560 10474325120