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45402813516 = 223193740913159
BaseRepresentation
bin101010010010001101…
…111111010001001100
311100012012101220022210
4222102031333101030
51220441110013031
632505135510420
73165060355464
oct522215772114
9140165356283
1045402813516
1118289782885
128971388410
1343874c9238
1422a9d66ba4
1512aaeaa746
hexa9237f44c

45402813516 has 96 divisors (see below), whose sum is σ = 114818368000. Its totient is φ = 13915058688.

The previous prime is 45402813499. The next prime is 45402813517. The reversal of 45402813516 is 61531820454.

45402813516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454028135162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45402813517) 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, 3443745 + ... + 3456903.

Almost surely, 245402813516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45402813516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57409184000).

45402813516 is an abundant number, since it is smaller than the sum of its proper divisors (69415554484).

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

45402813516 is a wasteful number, since it uses less digits than its factorization.

45402813516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13631 (or 13629 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 45402813516 in words is "forty-five billion, four hundred two million, eight hundred thirteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 409 444 703 818 1227 1406 1636 2109 2454 2812 4218 4908 7771 8436 13159 15133 15542 23313 26318 30266 31084 39477 45399 46626 52636 60532 78954 90798 93252 157908 181596 250021 287527 486883 500042 575054 750063 862581 973766 1000084 1150108 1460649 1500126 1725162 1947532 2921298 3000252 3450324 5382031 5842596 9250777 10764062 16146093 18501554 21528124 27752331 32292186 37003108 55504662 64584372 102258589 111009324 199135147 204517178 306775767 398270294 409034356 597405441 613551534 796540588 1194810882 1227103068 2389621764 3783567793 7567135586 11350703379 15134271172 22701406758 45402813516