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468240914964 = 2233189139101747
BaseRepresentation
bin1101101000001010101…
…01010101101000010100
31122202121111220000211210
412310011111111220110
530132424133234324
6555035031501420
745554306051604
oct6640525255024
91582544800753
10468240914964
11170641875889
12768b8b27870
13352024bca74
141893d312c04
15c2a7883d29
hex6d05555a14

468240914964 has 96 divisors (see below), whose sum is σ = 1148694220800. Its totient is φ = 148272410880.

The previous prime is 468240914959. The next prime is 468240914969. The reversal of 468240914964 is 469419042864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468240914959) and next prime (468240914969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468240914969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4551139 + ... + 4652885.

It is an arithmetic number, because the mean of its divisors is an integer number (11965564800).

Almost surely, 2468240914964 is an apocalyptic number.

It is an amenable number.

468240914964 is an abundant number, since it is smaller than the sum of its proper divisors (680453305836).

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

468240914964 is a wasteful number, since it uses less digits than its factorization.

468240914964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102013 (or 102011 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 468240914964 in words is "four hundred sixty-eight billion, two hundred forty million, nine hundred fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 31 62 89 93 124 139 178 186 267 278 356 372 417 534 556 834 1068 1668 2759 4309 5518 8277 8618 11036 12371 12927 16554 17236 24742 25854 33108 37113 49484 51708 74226 101747 148452 203494 305241 383501 406988 610482 767002 1150503 1220964 1534004 2301006 3154157 4602012 6308314 9055483 9462471 12616628 14142833 18110966 18924942 27166449 28285666 36221932 37849884 42428499 54332898 56571332 84856998 108665796 169713996 280719973 438427823 561439946 842159919 876855646 1122879892 1258712137 1315283469 1684319838 1753711292 2517424274 2630566938 3368639676 3776136411 5034848548 5261133876 7552272822 15104545644 39020076247 78040152494 117060228741 156080304988 234120457482 468240914964