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20926401840 = 243551076461
BaseRepresentation
bin10011011111010011…
…111000110100110000
32000000101201100200000
4103133103320310300
5320324124324330
613340301230000
71340401323621
oct233723706460
960011640600
1020926401840
118969454483
124080262300
131c865b65c6
141027355a48
15827260560
hex4df4f8d30

20926401840 has 120 divisors (see below), whose sum is σ = 72880783248. Its totient is φ = 5580368640.

The previous prime is 20926401803. The next prime is 20926401901. The reversal of 20926401840 is 4810462902.

20926401840 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 640 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20926401795 and 20926401804.

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 23 ways as a sum of consecutive naturals, for example, 518791 + ... + 557670.

Almost surely, 220926401840 is an apocalyptic number.

20926401840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20926401840 is an abundant number, since it is smaller than the sum of its proper divisors (51954381408).

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

20926401840 is a wasteful number, since it uses less digits than its factorization.

20926401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076489 (or 1076471 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20926401840 in words is "twenty billion, nine hundred twenty-six million, four hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 1076461 2152922 3229383 4305844 5382305 6458766 8611688 9688149 10764610 12917532 16146915 17223376 19376298 21529220 25835064 29064447 32293830 38752596 43058440 48440745 51670128 58128894 64587660 77505192 86116880 87193341 96881490 116257788 129175320 145322235 155010384 174386682 193762980 232515576 258350640 261580023 290644470 348773364 387525960 435966705 465031152 523160046 581288940 697546728 775051920 871933410 1046320092 1162577880 1307900115 1395093456 1743866820 2092640184 2325155760 2615800230 3487733640 4185280368 5231600460 6975467280 10463200920 20926401840