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20122395840 = 26345776327
BaseRepresentation
bin10010101111011000…
…110110010011000000
31220221100211121210000
4102233120312103000
5312202313131330
613124420440000
71311436354041
oct225730662300
956840747700
1020122395840
118596627908
123a96b49000
131b88b60201
14d8c6668c8
157cb896560
hex4af6364c0

20122395840 has 140 divisors (see below), whose sum is σ = 71578994256. Its totient is φ = 5365965312.

The previous prime is 20122395829. The next prime is 20122395847. The reversal of 20122395840 is 4859322102.

It is a happy number.

20122395840 is a `hidden beast` number, since 20 + 1 + 22 + 39 + 584 + 0 = 666.

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 = 20122395795 and 20122395804.

It is not an unprimeable number, because it can be changed into a prime (20122395847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 362244 + ... + 414083.

Almost surely, 220122395840 is an apocalyptic number.

20122395840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122395840 is an abundant number, since it is smaller than the sum of its proper divisors (51456598416).

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

20122395840 is an equidigital number, since it uses as much as digits as its factorization.

20122395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776356 (or 776337 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20122395840 in words is "twenty billion, one hundred twenty-two million, three hundred ninety-five thousand, eight hundred forty".

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 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 776327 1552654 2328981 3105308 3881635 4657962 6210616 6986943 7763270 9315924 11644905 12421232 13973886 15526540 18631848 20960829 23289810 24842464 27947772 31053080 34934715 37263696 41921658 46579620 49684928 55895544 62106160 62882487 69869430 74527392 83843316 93159240 104804145 111791088 124212320 125764974 139738860 149054784 167686632 186318480 209608290 223582176 248424640 251529948 279477720 314412435 335373264 372636960 419216580 447164352 503059896 558955440 628824870 670746528 745273920 838433160 1006119792 1117910880 1257649740 1341493056 1676866320 2012239584 2235821760 2515299480 3353732640 4024479168 5030598960 6707465280 10061197920 20122395840