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68737454874 = 23411314312887
BaseRepresentation
bin100000000000100010…
…0100101001100011010
320120102102122111120000
41000001010211030122
52111233242023444
651324430113430
74652243504034
oct1000104451432
9216372574500
1068737454874
1127173557250
12113a404b876
1366359c492a
143481084c54
151bc486d469
hex100112531a

68737454874 has 160 divisors (see below), whose sum is σ = 173907689472. Its totient is φ = 20103876000.

The previous prime is 68737454873. The next prime is 68737454899. The reversal of 68737454874 is 47845473786.

68737454874 is a `hidden beast` number, since 6 + 87 + 3 + 7 + 4 + 548 + 7 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (68737454873) 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 79 ways as a sum of consecutive naturals, for example, 23807859 + ... + 23810745.

Almost surely, 268737454874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68737454874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86953844736).

68737454874 is an abundant number, since it is smaller than the sum of its proper divisors (105170234598).

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

68737454874 is a wasteful number, since it uses less digits than its factorization.

68737454874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3365 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 63.

The spelling of 68737454874 in words is "sixty-eight billion, seven hundred thirty-seven million, four hundred fifty-four thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 341 431 558 594 682 837 862 891 1023 1293 1674 1782 2046 2511 2586 2887 3069 3879 4741 5022 5774 6138 7758 8661 9207 9482 11637 13361 14223 17322 18414 23274 25983 26722 27621 28446 31757 34911 40083 42669 51966 55242 63514 69822 77949 80166 85338 89497 95271 120249 128007 146971 155898 178994 190542 233847 240498 256014 268491 285813 293942 360747 384021 440913 467694 536982 571626 721494 768042 805473 857439 881826 984467 1082241 1244297 1322739 1610946 1714878 1968934 2164482 2416419 2488594 2572317 2645478 2953401 3732891 3968217 4832838 5144634 5906802 7249257 7465782 7936434 8860203 11198673 11904651 13687267 14498514 17720406 22397346 23809302 26580609 27374534 33596019 38573207 41061801 53161218 67192038 77146414 79741827 82123602 100788057 115719621 123185403 159483654 201576114 231439242 246370806 347158863 369556209 424305277 694317726 739112418 848610554 1041476589 1108668627 1272915831 2082953178 2217337254 2545831662 3124429767 3818747493 6248859534 7637494986 11456242479 22912484958 34368727437 68737454874