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55206679572 = 223311149311881
BaseRepresentation
bin110011011010100100…
…110001010000010100
312021111110002220021000
4303122210301100110
51401030402221242
641210034423300
73663034014402
oct633244612024
9167443086230
1055206679572
112145a805520
12a848731b30
13528a684005
14295a032472
151681a24a4c
hexcda931414

55206679572 has 96 divisors (see below), whose sum is σ = 157188528000. Its totient is φ = 16616966400.

The previous prime is 55206679571. The next prime is 55206679589. The reversal of 55206679572 is 27597660255.

55206679572 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 6 + 67 + 9 + 572 = 666.

It is a super-3 number, since 3×552066795723 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55206679571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21072 + ... + 332952.

It is an arithmetic number, because the mean of its divisors is an integer number (1637380500).

Almost surely, 255206679572 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 55206679572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78594264000).

55206679572 is an abundant number, since it is smaller than the sum of its proper divisors (101981848428).

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

55206679572 is a wasteful number, since it uses less digits than its factorization.

55206679572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312054 (or 312046 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 55206679572 in words is "fifty-five billion, two hundred six million, six hundred seventy-nine thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 149 198 297 298 396 447 594 596 894 1188 1341 1639 1788 2682 3278 4023 4917 5364 6556 8046 9834 14751 16092 19668 29502 44253 59004 88506 177012 311881 623762 935643 1247524 1871286 2806929 3430691 3742572 5613858 6861382 8420787 10292073 11227716 13722764 16841574 20584146 30876219 33683148 41168292 46470269 61752438 92628657 92940538 123504876 139410807 185257314 185881076 278821614 370514628 418232421 511172959 557643228 836464842 1022345918 1254697263 1533518877 1672929684 2044691836 2509394526 3067037754 4600556631 5018789052 6134075508 9201113262 13801669893 18402226524 27603339786 55206679572