Search a number
-
+
578038045410532 = 227411573319689177
BaseRepresentation
bin1000001101101110001111100…
…0010111010000010011100100
32210210122220020020201220220101
42003123203320113100103210
51101231033404111114112
65405215002342313444
7232516604424330340
oct20333437027202344
92723586206656811
10578038045410532
111581a9616239173
12549b778ba28884
131ba6c9a5109185
14a2a52952d4620
1546c616944d757
hex20db8f85d04e4

578038045410532 has 96 divisors (see below), whose sum is σ = 1195416985787136. Its totient is φ = 239423414630400.

The previous prime is 578038045410523. The next prime is 578038045410569. The reversal of 578038045410532 is 235014540830875.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54813528 + ... + 64502704.

It is an arithmetic number, because the mean of its divisors is an integer number (12452260268616).

Almost surely, 2578038045410532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578038045410532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597708492893568).

578038045410532 is an abundant number, since it is smaller than the sum of its proper divisors (617378940376604).

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

578038045410532 is a wasteful number, since it uses less digits than its factorization.

578038045410532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9689717 (or 9689715 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 55.

The spelling of 578038045410532 in words is "five hundred seventy-eight trillion, thirty-eight billion, forty-five million, four hundred ten thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 157 164 287 314 331 574 628 662 1099 1148 1324 2198 2317 4396 4634 6437 9268 12874 13571 25748 27142 45059 51967 54284 90118 94997 103934 180236 189994 207868 363769 379988 727538 1455076 2130647 4261294 8522588 9689177 14914529 19378354 29829058 38756708 59658116 67824239 135648478 271296956 397256257 794512514 1521200789 1589025028 2780793799 3042401578 3207117587 5561587598 6084803156 6414235174 10648405523 11123175196 12828470348 21296811046 22449823109 42593622092 44899646218 62369232349 89799292436 124738464698 131491821067 249476929396 262983642134 436584626443 503517461159 525967284268 873169252886 920442747469 1007034922318 1746338505772 1840885494938 2014069844636 3524622228113 3681770989876 7049244456226 14098488912452 20644215907519 41288431815038 82576863630076 144509511352633 289019022705266 578038045410532