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45520445322 = 232113137200437
BaseRepresentation
bin101010011001001110…
…101101111110001010
311100111101202012211100
4222121032231332022
51221211213222242
632524541042230
73201016254402
oct523116557612
9140441665740
1045520445322
111833a117350
1289a4856376
1343a59a4261
1422bb827802
1512b649454c
hexa993adf8a

45520445322 has 96 divisors (see below), whose sum is σ = 114066860544. Its totient is φ = 12988252800.

The previous prime is 45520445261. The next prime is 45520445323. The reversal of 45520445322 is 22354402554.

45520445322 is a `hidden beast` number, since 45 + 520 + 44 + 53 + 2 + 2 = 666.

It is a super-2 number, since 2×455204453222 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45520445323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126888 + ... + 327324.

It is an arithmetic number, because the mean of its divisors is an integer number (1188196464).

Almost surely, 245520445322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45520445322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57033430272).

45520445322 is an abundant number, since it is smaller than the sum of its proper divisors (68546415222).

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

45520445322 is a wasteful number, since it uses less digits than its factorization.

45520445322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200524 (or 200521 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 45520445322 its reverse (22354402554), we get a palindrome (67874847876).

The spelling of 45520445322 in words is "forty-five billion, five hundred twenty million, four hundred forty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 37 62 66 74 93 99 111 186 198 222 279 333 341 407 558 666 682 814 1023 1147 1221 2046 2294 2442 3069 3441 3663 6138 6882 7326 10323 12617 20646 25234 37851 75702 113553 200437 227106 400874 601311 1202622 1803933 2204807 3607866 4409614 6213547 6614421 7416169 12427094 13228842 14832338 18640641 19843263 22248507 37281282 39686526 44497014 55921923 66745521 68349017 81577859 111843846 133491042 136698034 163155718 205047051 229901239 244733577 410094102 459802478 489467154 615141153 689703717 734200731 1230282306 1379407434 1468401462 2069111151 2528913629 4138222302 5057827258 7586740887 15173481774 22760222661 45520445322