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45235202532 = 223135931115803
BaseRepresentation
bin101010001000001110…
…100110100111100100
311022202112000101021120
4222020032212213210
51220120202440112
632440351213540
73160653606642
oct521016464744
9138675011246
1045235202532
1118203102203
1289252172b0
13435b872440
1422919b6192
15129b3ece8c
hexa883a69e4

45235202532 has 96 divisors (see below), whose sum is σ = 115973544960. Its totient is φ = 13637758080.

The previous prime is 45235202531. The next prime is 45235202533. The reversal of 45235202532 is 23520253254.

It is an interprime number because it is at equal distance from previous prime (45235202531) and next prime (45235202533).

It is a super-2 number, since 2×452352025322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45235202493 and 45235202502.

It is not an unprimeable number, because it can be changed into a prime (45235202531) 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, 2854543 + ... + 2870345.

It is an arithmetic number, because the mean of its divisors is an integer number (1208057760).

Almost surely, 245235202532 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 45235202532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57986772480).

45235202532 is an abundant number, since it is smaller than the sum of its proper divisors (70738342428).

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

45235202532 is a wasteful number, since it uses less digits than its factorization.

45235202532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16193 (or 16191 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 45235202532 its reverse (23520253254), we get a palindrome (68755455786).

The spelling of 45235202532 in words is "forty-five billion, two hundred thirty-five million, two hundred two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 311 354 622 708 767 933 1244 1534 1866 2301 3068 3732 4043 4602 8086 9204 12129 15803 16172 18349 24258 31606 36698 47409 48516 55047 63212 73396 94818 110094 189636 205439 220188 238537 410878 477074 616317 715611 821756 932377 954148 1232634 1431222 1864754 2465268 2797131 2862444 3729508 4914733 5594262 9829466 11188524 12120901 14744199 19658932 24241802 29488398 36362703 48483604 58976796 63891529 72725406 127783058 145450812 191674587 255566116 289969247 383349174 579938494 766698348 869907741 1159876988 1739815482 3479630964 3769600211 7539200422 11308800633 15078400844 22617601266 45235202532