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45898421418 = 2346128116529
BaseRepresentation
bin101010101111110000…
…100101010010101010
311101110201222101120000
4222233300211102222
51222444443441133
633030242243430
73213256100463
oct525760452252
9141421871500
1045898421418
111851350a393
128a8b356576
1344360a4155
142315ad7d6a
1512d9757413
hexaafc254aa

45898421418 has 80 divisors (see below), whose sum is σ = 104910818760. Its totient is φ = 14994201600.

The previous prime is 45898421417. The next prime is 45898421419. The reversal of 45898421418 is 81412489854.

45898421418 is a `hidden beast` number, since 4 + 589 + 8 + 42 + 1 + 4 + 18 = 666.

45898421418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45898421417) and next prime (45898421419).

It can be written as a sum of positive squares in 4 ways, for example, as 39945218769 + 5953202649 = 199863^2 + 77157^2 .

It is a super-2 number, since 2×458984214182 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45898421417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2768578 + ... + 2785106.

Almost surely, 245898421418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45898421418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52455409380).

45898421418 is an abundant number, since it is smaller than the sum of its proper divisors (59012397342).

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

45898421418 is a wasteful number, since it uses less digits than its factorization.

45898421418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16885 (or 16876 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 45898421418 in words is "forty-five billion, eight hundred ninety-eight million, four hundred twenty-one thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 281 366 549 562 843 1098 1647 1686 2529 3294 4941 5058 7587 9882 15174 16529 17141 22761 33058 34282 45522 49587 51423 99174 102846 148761 154269 297522 308538 446283 462807 892566 925614 1008269 1338849 1388421 2016538 2677698 2776842 3024807 4644649 6049614 9074421 9289298 13933947 18148842 27223263 27867894 41801841 54446526 81669789 83603682 125405523 163339578 250811046 283323589 376216569 566647178 752433138 849970767 1699941534 2549912301 5099824602 7649736903 15299473806 22949210709 45898421418