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6940228522464 = 253328128586021
BaseRepresentation
bin110010011111110010111…
…0110110001000111100000
3220120110221110101022112000
41210333211312301013200
51402202042000204324
622432144051204000
71314262222042566
oct144774566610740
926513843338460
106940228522464
112236375084626
129410905a6600
133b45cb331043
1419dca1c6ba36
15c07e808b9c9
hex64fe5db11e0

6940228522464 has 96 divisors (see below), whose sum is σ = 20314370674080. Its totient is φ = 2305176652800.

The previous prime is 6940228522457. The next prime is 6940228522471. The reversal of 6940228522464 is 4642258220496.

6940228522464 is a `hidden beast` number, since 6 + 9 + 402 + 2 + 8 + 5 + 224 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6940228522457) and next prime (6940228522471).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6940228522464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14050227 + ... + 14535794.

It is an arithmetic number, because the mean of its divisors is an integer number (211608027855).

Almost surely, 26940228522464 is an apocalyptic number.

It is an amenable number.

6940228522464 is an abundant number, since it is smaller than the sum of its proper divisors (13374142151616).

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

6940228522464 is a wasteful number, since it uses less digits than its factorization.

6940228522464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28586321 (or 28586307 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 6940228522464 in words is "six trillion, nine hundred forty billion, two hundred twenty-eight million, five hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 281 288 432 562 843 864 1124 1686 2248 2529 3372 4496 5058 6744 7587 8992 10116 13488 15174 20232 26976 30348 40464 60696 80928 121392 242784 28586021 57172042 85758063 114344084 171516126 228688168 257274189 343032252 457376336 514548378 686064504 771822567 914752672 1029096756 1372129008 1543645134 2058193512 2744258016 3087290268 4116387024 6174580536 8032671901 8232774048 12349161072 16065343802 24098015703 24698322144 32130687604 48196031406 64261375208 72294047109 96392062812 128522750416 144588094218 192784125624 216882141327 257045500832 289176188436 385568251248 433764282654 578352376872 771136502496 867528565308 1156704753744 1735057130616 2313409507488 3470114261232 6940228522464