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45532373504 = 29176418161
BaseRepresentation
bin101010011001111100…
…001110001000000000
311100112020012020012212
4222121330032020000
51221222241423004
632530044441252
73201222534422
oct523174161000
9140466166185
1045532373504
1118345924152
1289a8849228
1343a82bc657
1422bd250812
1512b754d96e
hexa99f0e200

45532373504 has 80 divisors (see below), whose sum is σ = 96489433656. Its totient is φ = 21390950400.

The previous prime is 45532373489. The next prime is 45532373519. The reversal of 45532373504 is 40537323554.

It is an interprime number because it is at equal distance from previous prime (45532373489) and next prime (45532373519).

It can be written as a sum of positive squares in 4 ways, for example, as 45263413504 + 268960000 = 212752^2 + 16400^2 .

It is a super-2 number, since 2×455323735042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5575184 + ... + 5583344.

Almost surely, 245532373504 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 45532373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48244716828).

45532373504 is an abundant number, since it is smaller than the sum of its proper divisors (50957060152).

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

45532373504 is an equidigital number, since it uses as much as digits as its factorization.

45532373504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837 (or 8821 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 41.

The spelling of 45532373504 in words is "forty-five billion, five hundred thirty-two million, three hundred seventy-three thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 641 1088 1282 2176 2564 4352 5128 8161 8704 10256 10897 16322 20512 21794 32644 41024 43588 65288 82048 87176 130576 138737 164096 174352 261152 277474 328192 348704 522304 554948 697408 1044608 1109896 1394816 2089216 2219792 2789632 4178432 4439584 5231201 5579264 8879168 10462402 17758336 20924804 35516672 41849608 71033344 83699216 88930417 167398432 177860834 334796864 355721668 669593728 711443336 1339187456 1422886672 2678374912 2845773344 5691546688 11383093376 22766186752 45532373504