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5142294612 = 2233721374747
BaseRepresentation
bin1001100101000000…
…10011000001010100
3111021101010122002000
410302200103001110
541012411411422
62210133115300
7241300532400
oct46240230124
914241118060
105142294612
1121a9767064
12bb6188b30
1363c4904a0
1436ad42100
152016b2cac
hex132813054

5142294612 has 144 divisors (see below), whose sum is σ = 16701693120. Its totient is φ = 1356191424.

The previous prime is 5142294611. The next prime is 5142294697. The reversal of 5142294612 is 2164922415.

It is a happy number.

5142294612 is a `hidden beast` number, since 5 + 14 + 2 + 29 + 4 + 612 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142294611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31423 + ... + 106169.

It is an arithmetic number, because the mean of its divisors is an integer number (115983980).

Almost surely, 25142294612 is an apocalyptic number.

5142294612 is a gapful number since it is divisible by the number (52) 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 5142294612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8350846560).

5142294612 is an abundant number, since it is smaller than the sum of its proper divisors (11559398508).

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

5142294612 is a wasteful number, since it uses less digits than its factorization.

5142294612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74787 (or 74772 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5142294612 is about 71709.7943937925. The cubic root of 5142294612 is about 1726.0458111993.

The spelling of 5142294612 in words is "five billion, one hundred forty-two million, two hundred ninety-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 34398 68796 74747 149494 224241 298988 448482 523229 672723 896964 971711 1046458 1345446 1569687 1943422 2018169 2092916 2690892 2915133 3139374 3662603 3886844 4036338 4709061 5830266 6278748 6801977 7325206 8072676 8745399 9418122 10987809 11660532 13603954 14127183 14650412 17490798 18836244 20405931 21975618 26236197 27207908 28254366 32963427 34981596 40811862 43951236 47613839 52472394 56508732 61217793 65926854 81623724 95227678 98890281 104944788 122435586 131853708 142841517 183653379 190455356 197780562 244871172 285683034 367306758 395561124 428524551 571366068 734613516 857049102 1285573653 1714098204 2571147306 5142294612