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1941820663680 = 27335112373881
BaseRepresentation
bin11100010000011101100…
…001111110011110000000
320212122011211011100021000
4130100131201332132000
5223303322042214210
64044020551532000
7260202061206522
oct34203541763600
96778154140230
101941820663680
11689581161357
1227440798a000
13111161080791
1469dadb31a12
15357a0515ac0
hex1c41d87e780

1941820663680 has 128 divisors (see below), whose sum is σ = 6877281578400. Its totient is φ = 517818839040.

The previous prime is 1941820663639. The next prime is 1941820663703. The reversal of 1941820663680 is 863660281491.

1941820663680 is a `hidden beast` number, since 19 + 418 + 206 + 6 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×19418206636802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 56169661 + ... + 56204220.

Almost surely, 21941820663680 is an apocalyptic number.

1941820663680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1941820663680 is an abundant number, since it is smaller than the sum of its proper divisors (4935460914720).

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

1941820663680 is a wasteful number, since it uses less digits than its factorization.

1941820663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112373909 (or 112373891 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1941820663680 in words is "one trillion, nine hundred forty-one billion, eight hundred twenty million, six hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 112373881 224747762 337121643 449495524 561869405 674243286 898991048 1011364929 1123738810 1348486572 1685608215 1797982096 2022729858 2247477620 2696973144 3034094787 3371216430 3595964192 4045459716 4494955240 5056824645 5393946288 6068189574 6742432860 7191928384 8090919432 8989910480 10113649290 10787892576 12136379148 13484865720 14383856768 15170473935 16181838864 17979820960 20227298580 21575785152 24272758296 26969731440 30340947870 32363677728 35959641920 40454597160 43151570304 48545516592 53939462880 60681895740 64727355456 71919283840 80909194320 97091033184 107878925760 121363791480 129454710912 161818388640 194182066368 215757851520 242727582960 323636777280 388364132736 485455165920 647273554560 970910331840 1941820663680