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20144864376 = 23337131024871
BaseRepresentation
bin10010110000101110…
…100011110001111000
31220222221010010211000
4102300232203301320
5312224041130001
613130542205000
71312131344010
oct226056436170
956887103730
1020144864376
1185a828384a
123aa2583760
131b906c90c0
14d91634c40
157cd833a86
hex4b0ba3c78

20144864376 has 128 divisors (see below), whose sum is σ = 68871398400. Its totient is φ = 5312926080.

The previous prime is 20144864359. The next prime is 20144864449. The reversal of 20144864376 is 67346844102.

20144864376 is a `hidden beast` number, since 201 + 4 + 4 + 8 + 6 + 437 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492780 + ... + 532091.

It is an arithmetic number, because the mean of its divisors is an integer number (538057800).

Almost surely, 220144864376 is an apocalyptic number.

20144864376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20144864376 is an abundant number, since it is smaller than the sum of its proper divisors (48726534024).

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

20144864376 is a wasteful number, since it uses less digits than its factorization.

20144864376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024906 (or 1024896 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20144864376 in words is "twenty billion, one hundred forty-four million, eight hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 1024871 2049742 3074613 4099484 6149226 7174097 8198968 9223839 12298452 13323323 14348194 18447678 21522291 24596904 26646646 27671517 28696388 36895356 39969969 43044582 53293292 55343034 57392776 64566873 73790712 79939938 86089164 93263261 106586584 110686068 119909907 129133746 159879876 172178328 186526522 193700619 221372136 239819814 258267492 279789783 319759752 359729721 373053044 387401238 479639628 516534984 559579566 719459442 746106088 774802476 839369349 959279256 1119159132 1438918884 1549604952 1678738698 2238318264 2518108047 2877837768 3357477396 5036216094 6714954792 10072432188 20144864376