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146379933804 = 223132347298627
BaseRepresentation
bin1000100001010011101…
…1001000100001101100
3111222211110200002121210
42020110323020201230
54344241230340204
6151125045554420
713401300623256
oct2102473104154
9458743602553
10146379933804
1157096724905
1224452415a10
1310a5a594a60
147128a9acd6
153c1ada7389
hex2214ec886c

146379933804 has 96 divisors (see below), whose sum is σ = 383944619520. Its totient is φ = 43067616768.

The previous prime is 146379933751. The next prime is 146379933841. The reversal of 146379933804 is 408339973641.

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, 16963339 + ... + 16971965.

It is an arithmetic number, because the mean of its divisors is an integer number (3999423120).

Almost surely, 2146379933804 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 146379933804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191972309760).

146379933804 is an abundant number, since it is smaller than the sum of its proper divisors (237564685716).

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

146379933804 is a wasteful number, since it uses less digits than its factorization.

146379933804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13399 (or 13397 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 146379933804 in words is "one hundred forty-six billion, three hundred seventy-nine million, nine hundred thirty-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 4729 8627 9458 14187 17254 18916 25881 28374 34508 51762 56748 61477 103524 108767 112151 122954 184431 198421 217534 224302 245908 326301 336453 368862 396842 435068 448604 595263 652602 672906 737724 793684 1190526 1305204 1345812 1413971 2381052 2579473 2827942 4241913 5158946 5655884 7738419 8483826 10317892 15476838 16967652 30953676 40797083 81594166 122391249 163188332 244782498 489564996 530362079 938332909 1060724158 1591086237 1876665818 2121448316 2814998727 3182172474 3753331636 5629997454 6364344948 11259994908 12198327817 24396655634 36594983451 48793311268 73189966902 146379933804