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5414959272 = 23317711071747
BaseRepresentation
bin1010000101100000…
…11011100010101000
3111222101012102200010
411002300123202220
542042212144042
62253153211520
7251121252162
oct50260334250
914871172603
105414959272
112329670058
121071560ba0
13683b0a118
1439523b932
1521a5c259c
hex142c1b8a8

5414959272 has 128 divisors (see below), whose sum is σ = 14679843840. Its totient is φ = 1658280960.

The previous prime is 5414959247. The next prime is 5414959313. The reversal of 5414959272 is 2729594145.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 3098703 + ... + 3100449.

It is an arithmetic number, because the mean of its divisors is an integer number (114686280).

Almost surely, 25414959272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5414959272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339921920).

5414959272 is an abundant number, since it is smaller than the sum of its proper divisors (9264884568).

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

5414959272 is a wasteful number, since it uses less digits than its factorization.

5414959272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1947 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 5414959272 is about 73586.4068425684. The cubic root of 5414959272 is about 1756.0291928391.

The spelling of 5414959272 in words is "five billion, four hundred fourteen million, nine hundred fifty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 107 136 142 204 213 214 284 321 408 426 428 568 642 852 856 1207 1284 1704 1747 1819 2414 2568 3494 3621 3638 4828 5241 5457 6988 7242 7276 7597 9656 10482 10914 13976 14484 14552 15194 20964 21828 22791 28968 29699 30388 41928 43656 45582 59398 60776 89097 91164 118796 124037 129149 178194 182328 186929 237592 248074 258298 356388 372111 373858 387447 496148 516596 560787 712776 744222 747716 774894 992296 1033192 1121574 1488444 1495432 1549788 2108629 2243148 2976888 3099576 3177793 4217258 4486296 6325887 6355586 8434516 9533379 12651774 12711172 13271959 16869032 19066758 25303548 25422344 26543918 38133516 39815877 50607096 53087836 76267032 79631754 106175672 159263508 225623303 318527016 451246606 676869909 902493212 1353739818 1804986424 2707479636 5414959272