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12437386542 = 2347291312887
BaseRepresentation
bin10111001010101001…
…10111010100101110
31012002210010200220000
423211110313110232
5200432432332132
65414052205130
7620132020110
oct134524672456
935083120800
1012437386542
115302642659
1224b13097a6
131232966229
1485db553b0
154cbd6b87c
hex2e553752e

12437386542 has 160 divisors (see below), whose sum is σ = 33211537920. Its totient is φ = 3403632960.

The previous prime is 12437386501. The next prime is 12437386543. The reversal of 12437386542 is 24568373421.

12437386542 is a `hidden beast` number, since 1 + 24 + 3 + 7 + 3 + 86 + 542 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12437386543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4306623 + ... + 4309509.

It is an arithmetic number, because the mean of its divisors is an integer number (207572112).

Almost surely, 212437386542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12437386542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16605768960).

12437386542 is an abundant number, since it is smaller than the sum of its proper divisors (20774151378).

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

12437386542 is a wasteful number, since it uses less digits than its factorization.

12437386542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3059 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 12437386542 in words is "twelve billion, four hundred thirty-seven million, three hundred eighty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 131 162 174 189 203 261 262 378 393 406 522 567 609 783 786 917 1134 1179 1218 1566 1827 1834 2349 2358 2751 2887 3537 3654 3799 4698 5481 5502 5774 7074 7598 8253 8661 10611 10962 11397 16443 16506 17322 20209 21222 22794 24759 25983 26593 32886 34191 40418 49518 51966 53186 60627 68382 74277 77949 79779 83723 102573 121254 148554 155898 159558 167446 181881 205146 233847 239337 251169 307719 363762 378197 467694 478674 502338 545643 586061 615438 718011 753507 756394 1091286 1134591 1172122 1436022 1507014 1636929 1758183 2154033 2260521 2269182 2647379 3273858 3403773 3516366 4308066 4521042 5274549 5294758 6781563 6807546 7942137 10211319 10549098 10967713 13563126 15823647 15884274 20422638 21935426 23826411 30633957 31647294 32903139 47470941 47652822 61267914 65806278 71479233 76773991 94941882 98709417 142958466 153547982 197418834 214437699 230321973 296128251 428875398 460643946 592256502 690965919 888384753 1381931838 1776769506 2072897757 4145795514 6218693271 12437386542