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45146363556 = 22372337631559
BaseRepresentation
bin101010000010111011…
…101101011010100100
311022112022211220010010
4222002323231122210
51214424432113211
632423455130220
73155524521120
oct520273553244
9138468756103
1045146363556
1118167a44168
1288bb513970
134346338ab8
142283c8c580
1512937004a6
hexa82eed6a4

45146363556 has 96 divisors (see below), whose sum is σ = 129020129280. Its totient is φ = 12004654464.

The previous prime is 45146363503. The next prime is 45146363557. The reversal of 45146363556 is 65536364154.

45146363556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45146363557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244296 + ... + 387263.

It is an arithmetic number, because the mean of its divisors is an integer number (1343959680).

Almost surely, 245146363556 is an apocalyptic number.

45146363556 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

45146363556 is an abundant number, since it is smaller than the sum of its proper divisors (83873765724).

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

45146363556 is a wasteful number, since it uses less digits than its factorization.

45146363556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631633 (or 631631 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 48.

The spelling of 45146363556 in words is "forty-five billion, one hundred forty-six million, three hundred sixty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 37 42 46 69 74 84 92 111 138 148 161 222 259 276 322 444 483 518 644 777 851 966 1036 1554 1702 1932 2553 3108 3404 5106 5957 10212 11914 17871 23828 35742 71484 631559 1263118 1894677 2526236 3789354 4420913 7578708 8841826 13262739 14525857 17683652 23367683 26525478 29051714 43577571 46735366 53050956 58103428 70103049 87155142 93470732 101680999 140206098 163573781 174310284 203361998 280412196 305042997 327147562 406723996 490721343 537456709 610085994 654295124 981442686 1074913418 1220171988 1612370127 1962885372 2149826836 3224740254 3762196963 6449480508 7524393926 11286590889 15048787852 22573181778 45146363556