Search a number
-
+
130024162267164 = 2232112961185609861
BaseRepresentation
bin11101100100000110011100…
…000000010001000000011100
3122001101012002102120122011200
4131210012130000101000130
5114020303441020022124
61140312135303115500
736246635644453164
oct3544063400210034
9561335072518150
10130024162267164
113847aa34971170
12126bb678a42b90
1357722c2386ba9
1424172bb1975a4
15100736093dbc9
hex76419c01101c

130024162267164 has 144 divisors (see below), whose sum is σ = 376995902905440. Its totient is φ = 37418947776000.

The previous prime is 130024162267127. The next prime is 130024162267183. The reversal of 130024162267164 is 461762261420031.

130024162267164 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 2 + 4 + 1 + 622 + 6 + 7 + 16 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92104407 + ... + 93505454.

It is an arithmetic number, because the mean of its divisors is an integer number (2618027103510).

Almost surely, 2130024162267164 is an apocalyptic number.

It is an amenable number.

130024162267164 is an abundant number, since it is smaller than the sum of its proper divisors (246971740638276).

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

130024162267164 is a wasteful number, since it uses less digits than its factorization.

130024162267164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185609972 (or 185609967 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 130024162267164 in words is "one hundred thirty trillion, twenty-four billion, one hundred sixty-two million, two hundred sixty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 61 66 87 99 116 122 132 174 183 198 244 261 319 348 366 396 522 549 638 671 732 957 1044 1098 1276 1342 1769 1914 2013 2196 2684 2871 3538 3828 4026 5307 5742 6039 7076 8052 10614 11484 12078 15921 19459 21228 24156 31842 38918 58377 63684 77836 116754 175131 233508 350262 700524 185609861 371219722 556829583 742439444 1113659166 1670488749 2041708471 2227318332 3340977498 4083416942 5382685969 6125125413 6681954996 8166833884 10765371938 11322201521 12250250826 16148057907 18375376239 21530743876 22644403042 24500501652 32296115814 33966604563 36750752478 45288806084 48444173721 59209545659 64592231628 67933209126 73501504956 96888347442 101899813689 118419091318 124544216731 135866418252 177628636977 193776694884 203799627378 236838182636 249088433462 328343844109 355257273954 373632650193 407599254756 498176866924 532885910931 656687688218 710514547908 747265300386 985031532327 1065771821862 1120897950579 1313375376436 1494530600772 1970063064654 2131543643724 2241795901158 2955094596981 3611782285199 3940126129308 4483591802316 5910189193962 7223564570398 10835346855597 11820378387924 14447129140796 21670693711194 32506040566791 43341387422388 65012081133582 130024162267164