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97256081454 = 23737208929959
BaseRepresentation
bin101101010010011101…
…0100000100000101110
3100022000221110211121220
41122210322200200232
53043140024101304
6112402343204210
710012045023660
oct1324472404056
9308027424556
1097256081454
1138278582524
1216a22a46666
13922c1b99bc
1449c8878530
1527e33cbad9
hex16a4ea082e

97256081454 has 64 divisors (see below), whose sum is σ = 228424627200. Its totient is φ = 27022595328.

The previous prime is 97256081443. The next prime is 97256081467. The reversal of 97256081454 is 45418065279.

97256081454 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×972560814543 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97256081397 and 97256081406.

It is a congruent number.

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, 3231327 + ... + 3261285.

It is an arithmetic number, because the mean of its divisors is an integer number (3569134800).

Almost surely, 297256081454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97256081454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114212313600).

97256081454 is an abundant number, since it is smaller than the sum of its proper divisors (131168545746).

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

97256081454 is a wasteful number, since it uses less digits than its factorization.

97256081454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32097.

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 97256081454 in words is "ninety-seven billion, two hundred fifty-six million, eighty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1554 2089 4178 6267 12534 14623 29246 29959 43869 59918 77293 87738 89877 154586 179754 209713 231879 419426 463758 541051 629139 1082102 1108483 1258278 1623153 2216966 3246306 3325449 6650898 7759381 15518762 23278143 46556286 62584351 125168702 187753053 375506106 438090457 876180914 1314271371 2315620987 2628542742 4631241974 6946862961 13893725922 16209346909 32418693818 48628040727 97256081454