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56465146254 = 231153101181883
BaseRepresentation
bin110100100101100101…
…011100000110001110
312101202011010122000010
4310211211130012032
51411120034140004
641534552014050
74036154552436
oct644545340616
9171664118003
1056465146254
1121a46115130
12ab3a091326
13542b30955a
142a392212c6
15170725da89
hexd2595c18e

56465146254 has 128 divisors (see below), whose sum is σ = 127608638976. Its totient is φ = 16511040000.

The previous prime is 56465146223. The next prime is 56465146271. The reversal of 56465146254 is 45264156465.

It is a happy number.

It is a super-2 number, since 2×564651462542 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 63946497 + ... + 63947379.

It is an arithmetic number, because the mean of its divisors is an integer number (996942492).

Almost surely, 256465146254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56465146254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63804319488).

56465146254 is an abundant number, since it is smaller than the sum of its proper divisors (71143492722).

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

56465146254 is a wasteful number, since it uses less digits than its factorization.

56465146254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234.

The product of its digits is 3456000, while the sum is 48.

The spelling of 56465146254 in words is "fifty-six billion, four hundred sixty-five million, one hundred forty-six thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 53 66 101 106 159 181 202 303 318 362 543 583 606 883 1086 1111 1166 1749 1766 1991 2222 2649 3333 3498 3982 5298 5353 5973 6666 9593 9713 10706 11946 16059 18281 19186 19426 28779 29139 32118 36562 46799 54843 57558 58278 58883 89183 93598 105523 109686 117766 140397 159823 176649 178366 201091 211046 267549 280794 316569 319646 353298 402182 479469 514789 535098 603273 633138 958938 968893 981013 1029578 1206546 1544367 1758053 1937786 1962026 2906679 2943039 3088734 3516106 4726699 5274159 5813358 5886078 8470619 9453398 10548318 10657823 14180097 16142123 16941238 21315646 25411857 28360194 31973469 32284246 48426369 50823714 51993689 63946938 93176809 96852738 103987378 155981067 177563353 186353618 279530427 311962134 355126706 532690059 559060854 855532519 1065380118 1711065038 2566597557 5133195114 9410857709 18821715418 28232573127 56465146254