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83478007458 = 23383107174067
BaseRepresentation
bin100110110111110101…
…1010100111010100010
321222110201121011022000
41031233223110322202
52331430332214313
6102203235224430
76013443233016
oct1155753247242
9258421534260
1083478007458
113244818260a
1214218748116
137b448710b1
14407ca50546
1522889d4673
hex136fad4ea2

83478007458 has 64 divisors (see below), whose sum is σ = 189497387520. Its totient is φ = 27233670096.

The previous prime is 83478007447. The next prime is 83478007511. The reversal of 83478007458 is 85470087438.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 392541 + ... + 566607.

It is an arithmetic number, because the mean of its divisors is an integer number (2960896680).

Almost surely, 283478007458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83478007458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94748693760).

83478007458 is an abundant number, since it is smaller than the sum of its proper divisors (106019380062).

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

83478007458 is a wasteful number, since it uses less digits than its factorization.

83478007458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174268 (or 174262 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 83478007458 in words is "eighty-three billion, four hundred seventy-eight million, seven thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 83 107 166 214 249 321 498 642 747 963 1494 1926 2241 2889 4482 5778 8881 17762 26643 53286 79929 159858 174067 239787 348134 479574 522201 1044402 1566603 3133206 4699809 9399618 14447561 18625169 28895122 37250338 43342683 55875507 86685366 111751014 130028049 167626521 260056098 335253042 390084147 502879563 780168294 1005759126 1545889027 3091778054 4637667081 9275334162 13913001243 27826002486 41739003729 83478007458