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45890013378 = 231119195118757
BaseRepresentation
bin101010101111010000…
…100000100011000010
311101110011011012220010
4222233100200203002
51222440320412003
633025342125350
73213124451316
oct525720404302
9141404135803
1045890013378
11185097972a0
128a88580856
13443441c091
142314949b46
1512d8b46003
hexaaf4208c2

45890013378 has 64 divisors (see below), whose sum is σ = 105452974080. Its totient is φ = 13166712000.

The previous prime is 45890013353. The next prime is 45890013413. The reversal of 45890013378 is 87331009854.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2437176 + ... + 2455932.

It is an arithmetic number, because the mean of its divisors is an integer number (1647702720).

Almost surely, 245890013378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45890013378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52726487040).

45890013378 is an abundant number, since it is smaller than the sum of its proper divisors (59562960702).

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

45890013378 is a wasteful number, since it uses less digits than its factorization.

45890013378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20743.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 45890013378 in words is "forty-five billion, eight hundred ninety million, thirteen thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1951 3902 5853 11706 18757 21461 37069 37514 42922 56271 64383 74138 111207 112542 128766 206327 222414 356383 407759 412654 618981 712766 815518 1069149 1223277 1237962 2138298 2446554 3920213 7840426 11760639 23521278 36594907 73189814 109784721 219569442 402543977 695303233 805087954 1207631931 1390606466 2085909699 2415263862 4171819398 7648335563 15296671126 22945006689 45890013378