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45750148608 = 293234632797
BaseRepresentation
bin101010100110111010…
…111101111000000000
311101002101222100111110
4222212322331320000
51222144014223413
633003424243320
73206505563313
oct524672757000
9141071870443
1045750148608
111844784787a
128a49770540
13441145b468
14230013c97a
1512cb7198c3
hexaa6ebde00

45750148608 has 160 divisors (see below), whose sum is σ = 127500696576. Its totient is φ = 14550294528.

The previous prime is 45750148601. The next prime is 45750148627. The reversal of 45750148608 is 80684105754.

45750148608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45750148601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16355466 + ... + 16358262.

Almost surely, 245750148608 is an apocalyptic number.

45750148608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45750148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63750348288).

45750148608 is an abundant number, since it is smaller than the sum of its proper divisors (81750547968).

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

45750148608 is a wasteful number, since it uses less digits than its factorization.

45750148608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 45750148608 in words is "forty-five billion, seven hundred fifty million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 463 512 552 736 768 926 1104 1389 1472 1536 1852 2208 2778 2797 2944 3704 4416 5556 5594 5888 7408 8391 8832 10649 11112 11188 11776 14816 16782 17664 21298 22224 22376 29632 31947 33564 35328 42596 44448 44752 59264 63894 64331 67128 85192 88896 89504 118528 127788 128662 134256 170384 177792 179008 192993 237056 255576 257324 268512 340768 355584 358016 385986 511152 514648 537024 681536 711168 716032 771972 1022304 1029296 1074048 1295011 1363072 1432064 1543944 2044608 2058592 2148096 2590022 2726144 3087888 3885033 4089216 4117184 4296192 5180044 5452288 6175776 7770066 8178432 8234368 10360088 12351552 15540132 16356864 16468736 20720176 24703104 29785253 31080264 32937472 41440352 49406208 59570506 62160528 82880704 89355759 98812416 119141012 124321056 165761408 178711518 238282024 248642112 331522816 357423036 476564048 497284224 663045632 714846072 953128096 994568448 1429692144 1906256192 1989136896 2859384288 3812512384 5718768576 7625024768 11437537152 15250049536 22875074304 45750148608