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20409322815 = 3357193493257
BaseRepresentation
bin10011000000011111…
…011000110100111111
31221200100202000121000
4103000133120310333
5313244241312230
613213110341343
71321522244610
oct230037306477
957610660530
1020409322815
118723592342
123b5705a853
131c0343179b
14db87d5c07
157e6b71b60
hex4c07d8d3f

20409322815 has 128 divisors (see below), whose sum is σ = 43787520000. Its totient is φ = 8810892288.

The previous prime is 20409322811. The next prime is 20409322831. The reversal of 20409322815 is 51822390402.

It is a happy number.

20409322815 is a `hidden beast` number, since 20 + 409 + 3 + 228 + 1 + 5 = 666.

It is not a de Polignac number, because 20409322815 - 22 = 20409322811 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20409322815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20409322811) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6264667 + ... + 6267923.

It is an arithmetic number, because the mean of its divisors is an integer number (342090000).

Almost surely, 220409322815 is an apocalyptic number.

20409322815 is an abundant number, since it is smaller than the sum of its proper divisors (23378197185).

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

20409322815 is a wasteful number, since it uses less digits than its factorization.

20409322815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3640 counting only the distinct ones).

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

The spelling of 20409322815 in words is "twenty billion, four hundred nine million, three hundred twenty-two thousand, eight hundred fifteen".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 349 399 513 665 855 945 1047 1197 1745 1995 2443 2565 3141 3257 3591 5235 5985 6631 7329 9423 9771 12215 15705 16285 17955 19893 21987 22799 29313 33155 36645 46417 47115 48855 59679 61883 65961 68397 87939 99465 109935 113995 139251 146565 179037 185649 205191 232085 298395 309415 329805 341985 417753 433181 439695 556947 615573 696255 895185 928245 1025955 1136693 1253259 1299543 1670841 2088765 2165905 2784735 3077865 3410079 3898629 5683465 6266295 6497715 7956851 8354205 10230237 11695887 17050395 19493145 21597167 23870553 30690711 39784255 51151185 58479435 64791501 71611659 107985835 119352765 151180169 153453555 194374503 214834977 323957505 358058295 453540507 583123509 755900845 971872515 1074174885 1360621521 2267702535 2915617545 4081864563 6803107605 20409322815