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20537999664 = 24371337127079
BaseRepresentation
bin10011001000001010…
…010000000100110000
31222000022212111001020
4103020022100010300
5314030211442124
613233544335440
71324644055020
oct231012200460
958008774036
1020537999664
11878a190146
123b92174580
131c23ca5c30
14dcb92da80
158030dd379
hex4c8290130

20537999664 has 160 divisors (see below), whose sum is σ = 67065707520. Its totient is φ = 5270178816.

The previous prime is 20537999623. The next prime is 20537999681. The reversal of 20537999664 is 46699973502.

It is a super-2 number, since 2×205379996642 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20537999598 and 20537999607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98077 + ... + 225155.

It is an arithmetic number, because the mean of its divisors is an integer number (419160672).

Almost surely, 220537999664 is an apocalyptic number.

20537999664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20537999664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33532853760).

20537999664 is an abundant number, since it is smaller than the sum of its proper divisors (46527707856).

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

20537999664 is a wasteful number, since it uses less digits than its factorization.

20537999664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127147 (or 127141 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

It can be divided in two parts, 20537 and 999664, that added together give a palindrome (1020201).

The spelling of 20537999664 in words is "twenty billion, five hundred thirty-seven million, nine hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 364 444 481 518 546 592 624 728 777 888 962 1036 1092 1443 1456 1554 1776 1924 2072 2184 2886 3108 3367 3848 4144 4368 5772 6216 6734 7696 10101 11544 12432 13468 20202 23088 26936 40404 53872 80808 127079 161616 254158 381237 508316 762474 889553 1016632 1524948 1652027 1779106 2033264 2668659 3049896 3304054 3558212 4701923 4956081 5337318 6099792 6608108 7116424 9403846 9912162 10674636 11564189 13216216 14105769 14232848 18807692 19824324 21349272 23128378 26432432 28211538 32913461 34692567 37615384 39648648 42698544 46256756 56423076 61124999 65826922 69385134 75230768 79297296 92513512 98740383 112846152 122249998 131653844 138770268 183374997 185027024 197480766 225692304 244499996 263307688 277540536 366749994 394961532 427874993 488999992 526615376 555081072 733499988 789923064 855749986 977999984 1283624979 1466999976 1579846128 1711499972 2567249958 2933999952 3422999944 5134499916 6845999888 10268999832 20537999664