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45502365312 = 273249697949
BaseRepresentation
bin101010011000001001…
…101111111010000000
311100110010201122201100
4222120021233322000
51221142101142222
632523053334400
73200406503115
oct523011577200
9140403648640
1045502365312
111832a998598
12899a797400
1343a2013a21
1422b927c90c
1512b4ac24ac
hexa9826fe80

45502365312 has 96 divisors (see below), whose sum is σ = 130980622500. Its totient is φ = 15162494976.

The previous prime is 45502365277. The next prime is 45502365313. The reversal of 45502365312 is 21356320554.

45502365312 is a `hidden beast` number, since 45 + 50 + 2 + 36 + 531 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44190766656 + 1311598656 = 210216^2 + 36216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (45502365313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5720314 + ... + 5728262.

Almost surely, 245502365312 is an apocalyptic number.

It is an amenable number.

45502365312 is an abundant number, since it is smaller than the sum of its proper divisors (85478257188).

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

45502365312 is a wasteful number, since it uses less digits than its factorization.

45502365312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12938 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 45502365312 its reverse (21356320554), we get a palindrome (66858685866).

The spelling of 45502365312 in words is "forty-five billion, five hundred two million, three hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4969 7949 9938 14907 15898 19876 23847 29814 31796 39752 44721 47694 59628 63592 71541 79504 89442 95388 119256 127184 143082 159008 178884 190776 238512 254368 286164 318016 357768 381552 477024 508736 572328 636032 715536 763104 954048 1017472 1144656 1431072 1526208 1908096 2289312 2862144 3052416 4578624 5724288 9157248 39498581 78997162 118495743 157994324 236991486 315988648 355487229 473982972 631977296 710974458 947965944 1263954592 1421948916 1895931888 2527909184 2843897832 3791863776 5055818368 5687795664 7583727552 11375591328 15167455104 22751182656 45502365312