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400465565820 = 223252396730813
BaseRepresentation
bin1011101001111011001…
…10111001100001111100
31102021200010121120020100
411310331212321201330
523030123141101240
6503545450521100
740634624100525
oct5647546714174
91367603546210
10400465565820
1114492240a941
1265743136190
132b9c0c28088
141554dd5384c
15a63c70de30
hex5d3d9b987c

400465565820 has 72 divisors (see below), whose sum is σ = 1267560586656. Its totient is φ = 102147737472.

The previous prime is 400465565809. The next prime is 400465565833. The reversal of 400465565820 is 28565564004.

400465565820 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 6 + 5 + 565 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48361267 + ... + 48369546.

It is an arithmetic number, because the mean of its divisors is an integer number (17605008148).

Almost surely, 2400465565820 is an apocalyptic number.

It is an amenable number.

400465565820 is an abundant number, since it is smaller than the sum of its proper divisors (867095020836).

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

400465565820 is a wasteful number, since it uses less digits than its factorization.

400465565820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96730851 (or 96730846 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 400465565820 in words is "four hundred billion, four hundred sixty-five million, five hundred sixty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 96730813 193461626 290192439 386923252 483654065 580384878 870577317 967308130 1160769756 1450962195 1741154634 1934616260 2224808699 2901924390 3482309268 4352886585 4449617398 5803848780 6674426097 8705773170 8899234796 11124043495 13348852194 17411546340 20023278291 22248086990 26697704388 33372130485 40046556582 44496173980 66744260970 80093113164 100116391455 133488521940 200232782910 400465565820