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97242521436 = 22341915796381
BaseRepresentation
bin101101010010000011…
…0110001111101011100
3100021222222221220210000
41122210012301331130
53043123041141221
6112401140414300
710011521536254
oct1324406617534
9307888856700
1097242521436
11382709606a5
1216a1a3a7390
13922944c918
1449c6b48964
1527e20ede26
hex16a41b1f5c

97242521436 has 60 divisors (see below), whose sum is σ = 267590711080. Its totient is φ = 30708162720.

The previous prime is 97242521413. The next prime is 97242521443. The reversal of 97242521436 is 63412524279.

97242521436 is a `hidden beast` number, since 9 + 7 + 2 + 425 + 214 + 3 + 6 = 666.

It is a super-2 number, since 2×972425214362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97242521391 and 97242521400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7892035 + ... + 7904346.

Almost surely, 297242521436 is an apocalyptic number.

It is an amenable number.

97242521436 is an abundant number, since it is smaller than the sum of its proper divisors (170348189644).

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

97242521436 is a wasteful number, since it uses less digits than its factorization.

97242521436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15796416 (or 15796405 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 97242521436 in words is "ninety-seven billion, two hundred forty-two million, five hundred twenty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 15796381 31592762 47389143 63185524 94778286 142167429 189556572 284334858 300131239 426502287 568669716 600262478 853004574 900393717 1200524956 1279506861 1706009148 1800787434 2559013722 2701181151 3601574868 5118027444 5402362302 8103543453 10804724604 16207086906 24310630359 32414173812 48621260718 97242521436