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168921807840 = 25325571205441
BaseRepresentation
bin1001110101010010000…
…1100011101111100000
3121011000110011221112100
42131110201203233200
510231422440322330
6205333540330400
715130016450532
oct2352441435740
9534013157470
10168921807840
1165703a58475
12288a36a3a00
1312c10770666
1482667b3852
1545d9d71060
hex2754863be0

168921807840 has 144 divisors (see below), whose sum is σ = 577458017136. Its totient is φ = 44966707200.

The previous prime is 168921807839. The next prime is 168921807869. The reversal of 168921807840 is 48708129861.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719520 + ... + 924960.

It is an arithmetic number, because the mean of its divisors is an integer number (4010125119).

Almost surely, 2168921807840 is an apocalyptic number.

168921807840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168921807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288729008568).

168921807840 is an abundant number, since it is smaller than the sum of its proper divisors (408536209296).

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

168921807840 is a wasteful number, since it uses less digits than its factorization.

168921807840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206033 (or 206022 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 168921807840 in words is "one hundred sixty-eight billion, nine hundred twenty-one million, eight hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 571 720 1142 1440 1713 2284 2855 3426 4568 5139 5710 6852 8565 9136 10278 11420 13704 17130 18272 20556 22840 25695 27408 34260 41112 45680 51390 54816 68520 82224 91360 102780 137040 164448 205441 205560 274080 410882 411120 616323 821764 822240 1027205 1232646 1643528 1848969 2054410 2465292 3081615 3287056 3697938 4108820 4930584 6163230 6574112 7395876 8217640 9244845 9861168 12326460 14791752 16435280 18489690 19722336 24652920 29583504 32870560 36979380 49305840 59167008 73958760 98611680 117306811 147917520 234613622 295835040 351920433 469227244 586534055 703840866 938454488 1055761299 1173068110 1407681732 1759602165 1876908976 2111522598 2346136220 2815363464 3519204330 3753817952 4223045196 4692272440 5278806495 5630726928 7038408660 8446090392 9384544880 10557612990 11261453856 14076817320 16892180784 18769089760 21115225980 28153634640 33784361568 42230451960 56307269280 84460903920 168921807840