Search a number
-
+
92315770232 = 23731416911877
BaseRepresentation
bin101010111111001110…
…0101101110101111000
322211021122102000200012
41111332130231311320
53003030314121412
6110224223201052
76445446046160
oct1257634556570
9284248360605
1092315770232
1136172933594
1215a84446188
13892282951a
14467a6b35a0
152604815c22
hex157e72dd78

92315770232 has 128 divisors (see below), whose sum is σ = 209595617280. Its totient is φ = 37279872000.

The previous prime is 92315770213. The next prime is 92315770271. The reversal of 92315770232 is 23207751329.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 92315770232.

It is a congruent number.

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, 49181678 + ... + 49183554.

It is an arithmetic number, because the mean of its divisors is an integer number (1637465760).

Almost surely, 292315770232 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 92315770232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104797808640).

92315770232 is an abundant number, since it is smaller than the sum of its proper divisors (117279847048).

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

92315770232 is a wasteful number, since it uses less digits than its factorization.

92315770232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 92315770232 in words is "ninety-two billion, three hundred fifteen million, seven hundred seventy thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 41 56 62 82 124 164 217 248 287 328 434 574 691 868 1148 1271 1382 1736 1877 2296 2542 2764 3754 4837 5084 5528 7508 8897 9674 10168 13139 15016 17794 19348 21421 26278 28331 35588 38696 42842 52556 56662 58187 71176 76957 85684 105112 113324 116374 149947 153914 171368 198317 226648 232748 299894 307828 396634 407309 465496 538699 599788 615656 793268 814618 878261 1077398 1199576 1297007 1586536 1629236 1756522 2154796 2385667 2594014 3258472 3513044 4309592 4771334 5188028 6147827 7026088 9079049 9542668 10376056 12295654 16699669 18158098 19085336 24591308 33399338 36316196 40207217 49182616 53177287 66798676 72632392 80414434 106354574 133597352 160828868 212709148 281450519 321657736 372241009 425418296 562901038 744482018 1125802076 1488964036 1648495897 2251604152 2977928072 3296991794 6593983588 11539471279 13187967176 23078942558 46157885116 92315770232