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20637493470 = 2345117331729
BaseRepresentation
bin10011001110000101…
…110010100011011110
31222021021002021220000
4103032011302203132
5314231144242340
613251501035130
71330262541306
oct231605624336
958237067800
1020637493470
118830366330
123bbb555aa6
131c3b7a01c9
14ddac2c606
1580bbe2d30
hex4ce1728de

20637493470 has 160 divisors (see below), whose sum is σ = 61367850720. Its totient is φ = 4934338560.

The previous prime is 20637493469. The next prime is 20637493483. The reversal of 20637493470 is 7439473602.

20637493470 = 82612 + 82622 + ... + 85522.

20637493470 is a `hidden beast` number, since 2 + 0 + 637 + 4 + 9 + 3 + 4 + 7 + 0 = 666.

It is a super-2 number, since 2×206374934702 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 634566 + ... + 666294.

It is an arithmetic number, because the mean of its divisors is an integer number (383549067).

Almost surely, 220637493470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20637493470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30683925360).

20637493470 is an abundant number, since it is smaller than the sum of its proper divisors (40730357250).

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

20637493470 is a wasteful number, since it uses less digits than its factorization.

20637493470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31832 (or 31823 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 20637493470 in words is "twenty billion, six hundred thirty-seven million, four hundred ninety-three thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 73 81 90 99 110 135 146 162 165 198 219 270 297 330 365 405 438 495 594 657 730 803 810 891 990 1095 1314 1485 1606 1782 1971 2190 2409 2970 3285 3942 4015 4455 4818 5913 6570 7227 8030 8910 9855 11826 12045 14454 19710 21681 24090 29565 31729 36135 43362 59130 63458 65043 72270 95187 108405 130086 158645 190374 216810 285561 317290 325215 349019 475935 571122 650430 698038 856683 951870 1047057 1427805 1713366 1745095 2094114 2316217 2570049 2855610 3141171 3490190 4283415 4632434 5140098 5235285 6282342 6948651 8566830 9423513 10470570 11581085 12850245 13897302 15705855 18847026 20845953 23162170 25478387 25700490 28270539 31411710 34743255 41691906 47117565 50956774 56541078 62537859 69486510 76435161 94235130 104229765 125075718 127391935 141352695 152870322 187613577 208459530 229305483 254783870 282705390 312689295 375227154 382175805 458610966 625378590 687916449 764351610 938067885 1146527415 1375832898 1876135770 2063749347 2293054830 3439582245 4127498694 6879164490 10318746735 20637493470