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70313029632 = 212323116133
BaseRepresentation
bin100000101111011111…
…0111011000000000000
320201111020100222210200
41001132332323000000
52123000113422012
652145032125200
75036264614326
oct1013676730000
9221436328720
1070313029632
112790196594a
1211763836800
136827257ca1
14359041bd16
151c67d453dc
hex105efbb000

70313029632 has 156 divisors (see below), whose sum is σ = 203788017264. Its totient is φ = 23358504960.

The previous prime is 70313029627. The next prime is 70313029669. The reversal of 70313029632 is 23692031307.

70313029632 is a `hidden beast` number, since 7 + 0 + 3 + 13 + 0 + 2 + 9 + 632 = 666.

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, 11461638 + ... + 11467770.

It is an arithmetic number, because the mean of its divisors is an integer number (1306333444).

Almost surely, 270313029632 is an apocalyptic number.

70313029632 is a gapful number since it is divisible by the number (72) 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 70313029632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101894008632).

70313029632 is an abundant number, since it is smaller than the sum of its proper divisors (133474987632).

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

70313029632 is a wasteful number, since it uses less digits than its factorization.

70313029632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 70313029632 in words is "seventy billion, three hundred thirteen million, twenty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 311 384 512 576 622 768 933 1024 1152 1244 1536 1866 2048 2304 2488 2799 3072 3732 4096 4608 4976 5598 6133 6144 7464 9216 9952 11196 12266 12288 14928 18399 18432 19904 22392 24532 29856 36798 36864 39808 44784 49064 55197 59712 73596 79616 89568 98128 110394 119424 147192 159232 179136 196256 220788 238848 294384 318464 358272 392512 441576 477696 588768 636928 716544 785024 883152 955392 1177536 1273856 1433088 1570048 1766304 1907363 1910784 2355072 2866176 3140096 3532608 3814726 3821568 4710144 5722089 5732352 6280192 7065216 7629452 9420288 11444178 11464704 12560384 14130432 15258904 17166267 18840576 22888356 25120768 28260864 30517808 34332534 37681152 45776712 56521728 61035616 68665068 75362304 91553424 113043456 122071232 137330136 183106848 226086912 244142464 274660272 366213696 488284928 549320544 732427392 976569856 1098641088 1464854784 1953139712 2197282176 2929709568 3906279424 4394564352 5859419136 7812558848 8789128704 11718838272 17578257408 23437676544 35156514816 70313029632