Search a number
-
+
152461614100012 = 227197314992618933
BaseRepresentation
bin100010101010100110111100…
…010110011010111000101100
3201222211012002000200121002121
4202222212330112122320230
5124440412341202200022
61300131522033202324
744053662632314210
oct4252467426327054
9658735060617077
10152461614100012
1144640675547758
12151240ba1003a4
13670c0b76ca359
142991278046940
151295d230e02c7
hex8aa9bc59ae2c

152461614100012 has 96 divisors (see below), whose sum is σ = 325585874880000. Its totient is φ = 61012986435072.

The previous prime is 152461614100007. The next prime is 152461614100067. The reversal of 152461614100012 is 210001416164251.

152461614100012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 56905698 + ... + 59524630.

It is an arithmetic number, because the mean of its divisors is an integer number (3391519530000).

Almost surely, 2152461614100012 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 152461614100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162792937440000).

152461614100012 is an abundant number, since it is smaller than the sum of its proper divisors (173124260779988).

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

152461614100012 is a wasteful number, since it uses less digits than its factorization.

152461614100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620535 (or 2620533 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 152461614100012 in words is "one hundred fifty-two trillion, four hundred sixty-one billion, six hundred fourteen million, one hundred thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 73 76 133 146 266 292 511 532 1022 1387 1499 2044 2774 2998 5548 5996 9709 10493 19418 20986 28481 38836 41972 56962 109427 113924 199367 218854 398734 437708 765989 797468 1531978 2079113 2618933 3063956 4158226 5237866 8316452 10475732 14553791 18332531 29107582 36665062 49759727 58215164 73330124 99519454 191182109 199038908 348318089 382364218 696636178 764728436 1338274763 1393272356 2676549526 3632460071 3925780567 5353099052 7264920142 7851561134 14529840284 15703122268 25427220497 27480463969 50854440994 54960927938 74589830773 101708881988 109921855876 149179661546 286581981391 298359323092 522128815411 573163962782 1044257630822 1146327925564 2006073869737 2088515261644 4012147739474 5445057646429 8024295478948 10890115292858 21780230585716 38115403525003 76230807050006 152461614100012