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45142220646 = 234319792669
BaseRepresentation
bin101010000010101011…
…111001111101100110
311022112001001102010000
4222002223321331212
51214422402030041
632423230242130
73155444354505
oct520253717546
9138461042100
1045142220646
1118165674576
1288ba056346
134345518183
1422834d083c
151293182bb6
hexa82af9f66

45142220646 has 80 divisors (see below), whose sum is σ = 105492562560. Its totient is φ = 14411727360.

The previous prime is 45142220639. The next prime is 45142220653. The reversal of 45142220646 is 64602224154.

45142220646 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 2 + 2 + 2 + 0 + 646 = 666.

It is an interprime number because it is at equal distance from previous prime (45142220639) and next prime (45142220653).

It is a self number, because there is not a number n which added to its sum of digits gives 45142220646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440800 + ... + 533468.

It is an arithmetic number, because the mean of its divisors is an integer number (1318657032).

Almost surely, 245142220646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45142220646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52746281280).

45142220646 is an abundant number, since it is smaller than the sum of its proper divisors (60350341914).

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

45142220646 is a wasteful number, since it uses less digits than its factorization.

45142220646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92811 (or 92802 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 45142220646 in words is "forty-five billion, one hundred forty-two million, two hundred twenty thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 97 162 186 194 279 291 558 582 837 873 1674 1746 2511 2619 3007 5022 5238 6014 7857 9021 15714 18042 27063 54126 81189 92669 162378 185338 243567 278007 487134 556014 834021 1668042 2502063 2872739 5004126 5745478 7506189 8618217 8988893 15012378 17236434 17977786 25854651 26966679 51709302 53933358 77563953 80900037 155127906 161800074 232691859 242700111 278655683 465383718 485400222 557311366 728100333 835967049 1456200666 1671934098 2507901147 5015802294 7523703441 15047406882 22571110323 45142220646