Search a number
-
+
35042400504 = 23325314961631
BaseRepresentation
bin100000101000101100…
…001001100011111000
310100110011110101111100
4200220230021203320
51033231323304004
624033120131400
72350245326646
oct405054114370
9110404411440
1035042400504
1113952581181
12695b766b60
1333c5c4b037
1419a5dc6196
15da1658739
hex828b098f8

35042400504 has 96 divisors (see below), whose sum is σ = 97347744000. Its totient is φ = 11383307520.

The previous prime is 35042400487. The next prime is 35042400583. The reversal of 35042400504 is 40500424053.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537769 + ... + 599399.

It is an arithmetic number, because the mean of its divisors is an integer number (1014039000).

Almost surely, 235042400504 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 35042400504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48673872000).

35042400504 is an abundant number, since it is smaller than the sum of its proper divisors (62305343496).

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

35042400504 is a wasteful number, since it uses less digits than its factorization.

35042400504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61845 (or 61838 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 35042400504 its reverse (40500424053), we get a palindrome (75542824557).

The spelling of 35042400504 in words is "thirty-five billion, forty-two million, four hundred thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 149 159 212 298 318 424 447 477 596 636 894 954 1192 1272 1341 1788 1908 2682 3576 3816 5364 7897 10728 15794 23691 31588 47382 61631 63176 71073 94764 123262 142146 184893 189528 246524 284292 369786 493048 554679 568584 739572 1109358 1479144 2218716 3266443 4437432 6532886 9183019 9799329 13065772 18366038 19598658 26131544 27549057 29397987 36732076 39197316 55098114 58795974 73464152 78394632 82647171 110196228 117591948 165294342 220392456 235183896 330588684 486700007 661177368 973400014 1460100021 1946800028 2920200042 3893600056 4380300063 5840400084 8760600126 11680800168 17521200252 35042400504