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45525015252 = 22335949114551
BaseRepresentation
bin101010011001100000…
…001001101011010100
311100111201100101121000
4222121200021223110
51221213400442002
632525223023300
73201103146663
oct523140115324
9140451311530
1045525015252
1118341758852
1289a629ab30
1343a6914362
1422bc296dda
1512b6a9861c
hexa99809ad4

45525015252 has 96 divisors (see below), whose sum is σ = 120281011200. Its totient is φ = 14886396000.

The previous prime is 45525015251. The next prime is 45525015259. The reversal of 45525015252 is 25251052554.

45525015252 is a `hidden beast` number, since 4 + 5 + 52 + 501 + 52 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45525015251) 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, 3121377 + ... + 3135927.

It is an arithmetic number, because the mean of its divisors is an integer number (1252927200).

Almost surely, 245525015252 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 45525015252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60140505600).

45525015252 is an abundant number, since it is smaller than the sum of its proper divisors (74755995948).

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

45525015252 is a wasteful number, since it uses less digits than its factorization.

45525015252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15114 (or 15106 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 45525015252 in words is "forty-five billion, five hundred twenty-five million, fifteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 491 531 708 982 1062 1473 1593 1964 2124 2946 3186 4419 5892 6372 8838 13257 14551 17676 26514 28969 29102 43653 53028 57938 58204 86907 87306 115876 130959 173814 174612 260721 261918 347628 392877 521442 523836 782163 785754 858509 1042884 1564326 1571508 1717018 2575527 3128652 3434036 5151054 7144541 7726581 10302108 14289082 15453162 21433623 23179743 28578164 30906324 42867246 46359486 64300869 85734492 92718972 128601738 192902607 257203476 385805214 421527919 771610428 843055838 1264583757 1686111676 2529167514 3793751271 5058335028 7587502542 11381253813 15175005084 22762507626 45525015252