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197412890256 = 2434281542081
BaseRepresentation
bin1011011111011010111…
…0011010011010010000
3200212120001011220010000
42313312232122122100
511213300144442011
6230405031210000
720156034611001
oct2676656323220
9625501156100
10197412890256
11767a448037a
1232315216900
13158013404ca
1497aa6771a8
15520628d356
hex2df6b9a690

197412890256 has 100 divisors (see below), whose sum is σ = 573404582124. Its totient is φ = 65569996800.

The previous prime is 197412890179. The next prime is 197412890273. The reversal of 197412890256 is 652098214791.

It is a happy number.

197412890256 is a `hidden beast` number, since 1 + 97 + 412 + 8 + 90 + 2 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106380345600 + 91032544656 = 326160^2 + 301716^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93136 + ... + 635216.

Almost surely, 2197412890256 is an apocalyptic number.

197412890256 is a gapful number since it is divisible by the number (16) 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 197412890256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286702291062).

197412890256 is an abundant number, since it is smaller than the sum of its proper divisors (375991691868).

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

197412890256 is a wasteful number, since it uses less digits than its factorization.

197412890256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542382 (or 542367 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 197412890256 in words is "one hundred ninety-seven billion, four hundred twelve million, eight hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 281 324 432 562 648 843 1124 1296 1686 2248 2529 3372 4496 5058 6744 7587 10116 13488 15174 20232 22761 30348 40464 45522 60696 91044 121392 182088 364176 542081 1084162 1626243 2168324 3252486 4336648 4878729 6504972 8673296 9757458 13009944 14636187 19514916 26019888 29272374 39029832 43908561 58544748 78059664 87817122 117089496 152324761 175634244 234178992 304649522 351268488 456974283 609299044 702536976 913948566 1218598088 1370922849 1827897132 2437196176 2741845698 3655794264 4112768547 5483691396 7311588528 8225537094 10967382792 12338305641 16451074188 21934765584 24676611282 32902148376 49353222564 65804296752 98706445128 197412890256