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67394113542 = 232713119121377
BaseRepresentation
bin111110110001000000…
…001001000000000110
320102221210220200200100
4332301000021000012
52101010343113132
650543241424530
74604042341020
oct766100110006
9212853820610
1067394113542
1126644246aa8
121108a19b146
1364805c32c2
1433948c1010
151b4696b37c
hexfb1009006

67394113542 has 96 divisors (see below), whose sum is σ = 169042857984. Its totient is φ = 19007539200.

The previous prime is 67394113541. The next prime is 67394113601. The reversal of 67394113542 is 24531149376.

67394113542 is a `hidden beast` number, since 6 + 7 + 3 + 94 + 1 + 13 + 542 = 666.

It is a super-2 number, since 2×673941135422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67394113541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3141958 + ... + 3163334.

It is an arithmetic number, because the mean of its divisors is an integer number (1760863104).

Almost surely, 267394113542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67394113542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84521428992).

67394113542 is an abundant number, since it is smaller than the sum of its proper divisors (101648744442).

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

67394113542 is a wasteful number, since it uses less digits than its factorization.

67394113542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21714 (or 21711 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 67394113542 in words is "sixty-seven billion, three hundred ninety-four million, one hundred thirteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 191 262 382 393 573 786 917 1146 1179 1337 1719 1834 2358 2674 2751 3438 4011 5502 8022 8253 12033 16506 21377 24066 25021 42754 50042 64131 75063 128262 149639 150126 175147 192393 225189 299278 350294 384786 448917 450378 525441 897834 1050882 1346751 1576323 2693502 2800387 3152646 4083007 5600774 8166014 8401161 12249021 16802322 19602709 24498042 25203483 28581049 36747063 39205418 50406966 57162098 58808127 73494126 85743147 117616254 171486294 176424381 257229441 352848762 514458882 534873917 1069747834 1604621751 3209243502 3744117419 4813865253 7488234838 9627730506 11232352257 22464704514 33697056771 67394113542