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10716664320 = 29325465133
BaseRepresentation
bin10011111101100001…
…10101001000000000
31000122212021221202100
421332300311020000
5133421431224240
64531223150400
7526366100205
oct117660651000
930585257670
1010716664320
1145aa30657a
1220b0ba5400
13101a3128bb
147393d7cac
1542ac72e30
hex27ec35200

10716664320 has 120 divisors (see below), whose sum is σ = 37114902396. Its totient is φ = 2857771008.

The previous prime is 10716664313. The next prime is 10716664339. The reversal of 10716664320 is 2346661701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9673115904 + 1043548416 = 98352^2 + 32304^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×107166643202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209527 + ... + 255606.

Almost surely, 210716664320 is an apocalyptic number.

10716664320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10716664320 is an abundant number, since it is smaller than the sum of its proper divisors (26398238076).

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

10716664320 is an equidigital number, since it uses as much as digits as its factorization.

10716664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465162 (or 465143 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10716664320 in words is "ten billion, seven hundred sixteen million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 465133 930266 1395399 1860532 2325665 2790798 3721064 4186197 4651330 5581596 6976995 7442128 8372394 9302660 11163192 13953990 14884256 16744788 18605320 20930985 22326384 27907980 29768512 33489576 37210640 41861970 44652768 55815960 59537024 66979152 74421280 83723940 89305536 111631920 119074048 133958304 148842560 167447880 178611072 223263840 238148096 267916608 297685120 334895760 357222144 446527680 535833216 595370240 669791520 714444288 893055360 1071666432 1190740480 1339583040 1786110720 2143332864 2679166080 3572221440 5358332160 10716664320