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45321224550102 = 2353372531109331
BaseRepresentation
bin10100100111000001010110…
…11111010111011011010110
312221110200000001201000200000
422103200223133113123112
521420020331441100402
6240220141053432130
712355231123323204
oct1223405337273326
9187420001630600
1045321224550102
1113493694811526
1250bb68249b646
131c39a08773bc7
14b297b7b6a074
15538d98102c1c
hex29382b7d76d6

45321224550102 has 96 divisors (see below), whose sum is σ = 102176337803904. Its totient is φ = 15056157916800.

The previous prime is 45321224550079. The next prime is 45321224550103. The reversal of 45321224550102 is 20105542212354.

45321224550102 is a `hidden beast` number, since 4 + 5 + 321 + 224 + 5 + 5 + 0 + 102 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45321224550103) 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, 414477577 + ... + 414586907.

It is an arithmetic number, because the mean of its divisors is an integer number (1064336852124).

Almost surely, 245321224550102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45321224550102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51088168901952).

45321224550102 is an abundant number, since it is smaller than the sum of its proper divisors (56855113253802).

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

45321224550102 is a wasteful number, since it uses less digits than its factorization.

45321224550102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112216 (or 112204 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 45321224550102 its reverse (20105542212354), we get a palindrome (65426766762456).

The spelling of 45321224550102 in words is "forty-five trillion, three hundred twenty-one billion, two hundred twenty-four million, five hundred fifty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 337 486 674 1011 2022 2531 3033 5062 6066 7593 9099 15186 18198 22779 27297 45558 54594 68337 81891 109331 136674 163782 205011 218662 327993 410022 615033 655986 852947 983979 1230066 1705894 1967958 2558841 2951937 5117682 5903874 7676523 8855811 15353046 17711622 23029569 26567433 36844547 46059138 53134866 69088707 73689094 110533641 138177414 207266121 221067282 276716761 331600923 414532242 553433522 663201846 830150283 994802769 1660300566 1989605538 2490450849 2984408307 4980901698 5968816614 7471352547 8953224921 14942705094 17906449842 22414057641 44828115282 67242172923 93253548457 134484345846 186507096914 279760645371 559521290742 839281936113 1678563872226 2517845808339 5035691616678 7553537425017 15107074850034 22660612275051 45321224550102