Search a number
-
+
124874805216 = 2537199933797
BaseRepresentation
bin111010001001100011…
…1100100111111100000
3102221022201222101002210
41310103013210333200
54021220422231331
6133211112242120
712010341221340
oct1642307447740
9387281871083
10124874805216
1148a60632467
12202503a0340
13ba111206b5
146088938d20
1533ace2c446
hex1d131e4fe0

124874805216 has 96 divisors (see below), whose sum is σ = 376507353600. Its totient is φ = 35499188736.

The previous prime is 124874805179. The next prime is 124874805247. The reversal of 124874805216 is 612508478421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333171 + ... + 600626.

It is an arithmetic number, because the mean of its divisors is an integer number (3921951600).

Almost surely, 2124874805216 is an apocalyptic number.

124874805216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

124874805216 is an abundant number, since it is smaller than the sum of its proper divisors (251632548384).

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

124874805216 is a wasteful number, since it uses less digits than its factorization.

124874805216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934016 (or 934008 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 124874805216 in words is "one hundred twenty-four billion, eight hundred seventy-four million, eight hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 199 224 336 398 597 672 796 1194 1393 1592 2388 2786 3184 4179 4776 5572 6368 8358 9552 11144 16716 19104 22288 33432 44576 66864 133728 933797 1867594 2801391 3735188 5602782 6536579 7470376 11205564 13073158 14940752 19609737 22411128 26146316 29881504 39219474 44822256 52292632 78438948 89644512 104585264 156877896 185825603 209170528 313755792 371651206 557476809 627511584 743302412 1114953618 1300779221 1486604824 2229907236 2601558442 2973209648 3902337663 4459814472 5203116884 5946419296 7804675326 8919628944 10406233768 15609350652 17839257888 20812467536 31218701304 41624935072 62437402608 124874805216