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54139420692 = 223277112972333
BaseRepresentation
bin110010011010111101…
…100000000000010100
312011202001212112022100
4302122331200000110
51341334142430232
640512111402100
73624424324440
oct623275400024
9164661775270
1054139420692
1120a62323095
12a5ab223330
13514a527b96
1428983b7820
15161cea9c7c
hexc9af60014

54139420692 has 144 divisors (see below), whose sum is σ = 158795949312. Its totient is φ = 15232250880.

The previous prime is 54139420681. The next prime is 54139420693. The reversal of 54139420692 is 29602493145.

54139420692 is a `hidden beast` number, since 5 + 4 + 139 + 420 + 6 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54139420693) 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, 23204758 + ... + 23207090.

It is an arithmetic number, because the mean of its divisors is an integer number (1102749648).

Almost surely, 254139420692 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 54139420692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79397974656).

54139420692 is an abundant number, since it is smaller than the sum of its proper divisors (104656528620).

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

54139420692 is a wasteful number, since it uses less digits than its factorization.

54139420692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 54139420692 in words is "fifty-four billion, one hundred thirty-nine million, four hundred twenty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1297 1491 1988 2333 2556 2594 2982 3891 4473 4666 5188 5964 6999 7782 8946 9079 9332 11673 13998 15564 16331 17892 18158 20997 23346 27237 27996 32662 36316 41994 46692 48993 54474 65324 81711 83988 92087 97986 108948 146979 163422 165643 184174 195972 276261 293958 326844 331286 368348 496929 552522 587916 644609 662572 828783 993858 1105044 1159501 1289218 1490787 1657566 1933827 1987716 2319002 2578436 2981574 3025901 3315132 3478503 3867654 4638004 5801481 5963148 6051802 6957006 7735308 9077703 10435509 11602962 12103604 13914012 18155406 20871018 21181307 23205924 27233109 36310812 41742036 42362614 54466218 63543921 84725228 108932436 127087842 190631763 214838971 254175684 381263526 429677942 644516913 762527052 859355884 1289033826 1503872797 1933550739 2578067652 3007745594 3867101478 4511618391 6015491188 7734202956 9023236782 13534855173 18046473564 27069710346 54139420692