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2385872078868 = 2232176538277219
BaseRepresentation
bin100010101110000001000…
…011101100100000010100
322110002100112020110120200
4202232001003230200110
5303042231223010433
65024015434500500
7334242064025445
oct42560103544024
98402315213520
102385872078868
1183a92a652a03
12326493894730
13143ca9c25365
148369659b2cc
15420de425613
hex22b810ec814

2385872078868 has 144 divisors (see below), whose sum is σ = 6404115856320. Its totient is φ = 746355520512.

The previous prime is 2385872078803. The next prime is 2385872078879. The reversal of 2385872078868 is 8688702785832.

It is a happy number.

2385872078868 is a `hidden beast` number, since 2 + 38 + 587 + 2 + 0 + 7 + 8 + 8 + 6 + 8 = 666.

It is a super-2 number, since 2×23858720788682 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2385872078796 and 2385872078805.

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, 330495363 + ... + 330502581.

It is an arithmetic number, because the mean of its divisors is an integer number (44473026780).

Almost surely, 22385872078868 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 2385872078868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202057928160).

2385872078868 is an abundant number, since it is smaller than the sum of its proper divisors (4018243777452).

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

2385872078868 is a wasteful number, since it uses less digits than its factorization.

2385872078868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 2385872078868 in words is "two trillion, three hundred eighty-five billion, eight hundred seventy-two million, seventy-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 653 827 1306 1654 1959 2481 2612 3308 3918 4962 5877 7219 7443 7836 9924 11101 11754 14059 14438 14886 21657 22202 23508 28118 28876 29772 33303 42177 43314 44404 56236 64971 66606 84354 86628 99909 122723 126531 129942 133212 168708 199818 245446 253062 259884 368169 399636 490892 506124 540031 736338 1080062 1104507 1472676 1620093 2160124 2209014 3240186 4418028 4714007 4860279 5970113 6480372 9180527 9428014 9720558 11940226 14142021 17910339 18361054 18856028 19441116 23880452 27541581 28284042 35820678 36722108 42426063 53731017 55083162 56568084 71641356 80138119 82624743 84852126 101491921 107462034 110166324 160276238 165249486 169704252 202983842 214924068 240414357 304475763 320552476 330498972 405967684 480828714 608951526 721243071 913427289 961657428 1217903052 1442486142 1826854578 2884972284 3653709156 3898483789 7796967578 11695451367 15593935156 23390902734 35086354101 46781805468 66274224413 70172708202 132548448826 140345416404 198822673239 265096897652 397645346478 596468019717 795290692956 1192936039434 2385872078868