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45936063954 = 2331137256489
BaseRepresentation
bin101010110010000000…
…001011010111010010
311101120100210211102000
4222302000023113102
51223034113021304
633034105134430
73214224046464
oct526200132722
9141510724360
1045936063954
111853278a820
128a9ba8a416
134440b23941
14231aad6134
1512dcbe0939
hexab200b5d2

45936063954 has 96 divisors (see below), whose sum is σ = 114453259200. Its totient is φ = 13543562880.

The previous prime is 45936063949. The next prime is 45936063977.

45936063954 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×459360639542 (a number of 22 digits) contains 22 as substring.

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 45936063954.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784942 + ... + 841430.

It is an arithmetic number, because the mean of its divisors is an integer number (1192221450).

Almost surely, 245936063954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45936063954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57226629600).

45936063954 is an abundant number, since it is smaller than the sum of its proper divisors (68517195246).

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

45936063954 is a wasteful number, since it uses less digits than its factorization.

45936063954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56585 (or 56542 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 45936063954 in words is "forty-five billion, nine hundred thirty-six million, sixty-three thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 814 999 1221 1369 1998 2442 2738 3663 4107 7326 8214 10989 12321 15059 21978 24642 30118 36963 45177 56489 73926 90354 112978 135531 169467 271062 338934 406593 508401 621379 813186 1016802 1242758 1525203 1864137 2090093 3050406 3728274 4180186 5592411 6270279 11184822 12540558 16777233 18810837 22991023 33554466 37621674 45982046 56432511 68973069 77333441 112865022 137946138 154666882 206919207 232000323 413838414 464000646 620757621 696000969 850667851 1241515242 1392001938 1701335702 2088002907 2552003553 4176005814 5104007106 7656010659 15312021318 22968031977 45936063954