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7147134072 = 23321331246317
BaseRepresentation
bin1101010100000000…
…01001110001111000
3200110002121000210100
412222000021301320
5104114131242242
63141111515400
7342053431401
oct65200116170
920402530710
107147134072
113038409681
121475688b60
1389b940520
144bb2da9a8
152bc6ce54c
hex1aa009c78

7147134072 has 96 divisors (see below), whose sum is σ = 21518340480. Its totient is φ = 2128170240.

The previous prime is 7147134047. The next prime is 7147134083. The reversal of 7147134072 is 2704317417.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94143 + ... + 152174.

It is an arithmetic number, because the mean of its divisors is an integer number (224149380).

Almost surely, 27147134072 is an apocalyptic number.

7147134072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7147134072 is an abundant number, since it is smaller than the sum of its proper divisors (14371206408).

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

7147134072 is a wasteful number, since it uses less digits than its factorization.

7147134072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246373 (or 246366 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 7147134072 is about 84540.7243404030. The cubic root of 7147134072 is about 1926.2410906681.

The spelling of 7147134072 in words is "seven billion, one hundred forty-seven million, one hundred thirty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 29016 246317 492634 738951 985268 1477902 1970536 2216853 2955804 3202121 4433706 5911608 6404242 7635827 8867412 9606363 12808484 15271654 17734824 19212726 22907481 25616968 28819089 30543308 38425452 45814962 57638178 61086616 68722443 76850904 91629924 99265751 115276356 137444886 183259848 198531502 230552712 274889772 297797253 397063004 549779544 595594506 794126008 893391759 1191189012 1786783518 2382378024 3573567036 7147134072