Search a number
-
+
97955020629480 = 233577189131179787
BaseRepresentation
bin10110010001011011101110…
…001101010110010111101000
3110211211102000210211220120210
4112101123232031112113220
5100314343340240120410
6544155525405421120
726430005504246160
oct2621335615262750
9424742023756523
1097955020629480
1129236544510603
12aba040a26a7a0
134287171044541
141a290967435a0
15b4d07cacb220
hex5916ee3565e8

97955020629480 has 1024 divisors, whose sum is σ = 349413875712000. Its totient is φ = 21511358668800.

The previous prime is 97955020629457. The next prime is 97955020629491. The reversal of 97955020629480 is 8492602055979.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 124466353647 + ... + 124466354433.

It is an arithmetic number, because the mean of its divisors is an integer number (341224488000).

Almost surely, 297955020629480 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 97955020629480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174706937856000).

97955020629480 is an abundant number, since it is smaller than the sum of its proper divisors (251458855082520).

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

97955020629480 is a wasteful number, since it uses less digits than its factorization.

97955020629480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 97955020629480 in words is "ninety-seven trillion, nine hundred fifty-five billion, twenty million, six hundred twenty-nine thousand, four hundred eighty".