Search a number
-
+
73013255982 = 2363110091601
BaseRepresentation
bin100001111111111101…
…1011101111100101110
320222110102022201000000
41003333323131330232
52144012343142412
653313011245130
75163223302342
oct1037773357456
9228412281000
1073013255982
1128a68096977
1212197ba97a6
136b677c0764
143768cad622
151d74e224dc
hex10ffeddf2e

73013255982 has 112 divisors (see below), whose sum is σ = 169775602560. Its totient is φ = 23514624000.

The previous prime is 73013255921. The next prime is 73013255983. The reversal of 73013255982 is 28955231037.

73013255982 is a `hidden beast` number, since 7 + 3 + 0 + 13 + 2 + 559 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73013255983) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 45603982 + ... + 45605582.

Almost surely, 273013255982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73013255982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84887801280).

73013255982 is an abundant number, since it is smaller than the sum of its proper divisors (96762346578).

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

73013255982 is a wasteful number, since it uses less digits than its factorization.

73013255982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 73013255982 in words is "seventy-three billion, thirteen million, two hundred fifty-five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 837 1009 1458 1601 1674 2018 2511 3027 3202 4803 5022 6054 7533 9081 9606 14409 15066 18162 22599 27243 28818 31279 43227 45198 49631 54486 62558 81729 86454 93837 99262 129681 148893 163458 187674 245187 259362 281511 297786 389043 446679 490374 563022 735561 778086 844533 893358 1167129 1340037 1471122 1615409 1689066 2334258 2533599 2680074 3230818 4020111 4846227 5067198 7600797 8040222 9692454 12060333 14538681 15201594 22802391 24120666 29077362 36180999 43616043 45604782 50077679 72361998 87232086 100155358 130848129 150233037 261696258 300466074 392544387 450699111 785088774 901398222 1177633161 1352097333 2355266322 2704194666 4056291999 8112583998 12168875997 24337751994 36506627991 73013255982