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23408955980432 = 24113129129147293
BaseRepresentation
bin1010101001010010100101…
…00000010111101010010000
310001212212121101120002121122
411110221102200113222100
511032013020212333212
6121441531555341412
74634145515532101
oct524512240275220
9101785541502548
1023408955980432
117505756420830
12276098bbb1868
13100a5bba5bc79
145acddc9503a8
152a8dc23a7272
hex154a52817a90

23408955980432 has 80 divisors (see below), whose sum is σ = 51076185914880. Its totient is φ = 10296771302400.

The previous prime is 23408955980419. The next prime is 23408955980467.

23408955980432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158854178 + ... + 159001470.

It is an arithmetic number, because the mean of its divisors is an integer number (638452323936).

Almost surely, 223408955980432 is an apocalyptic number.

23408955980432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23408955980432 is an abundant number, since it is smaller than the sum of its proper divisors (27667229934448).

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

23408955980432 is a wasteful number, since it uses less digits than its factorization.

23408955980432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176472 (or 176466 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 62.

The spelling of 23408955980432 in words is "twenty-three trillion, four hundred eight billion, nine hundred fifty-five million, nine hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 29129 58258 116516 147293 233032 294586 320419 466064 589172 640838 902999 1178344 1281676 1620223 1805998 2356688 2563352 3240446 3611996 4566083 5126704 6480892 7223992 9132166 9932989 12961784 14447984 18264332 19865978 25923568 36528664 39731956 50226913 73057328 79463912 100453826 158927824 200907652 401815304 803630608 4290497797 8580995594 17161991188 34323982376 47195475767 68647964752 94390951534 133005431707 188781903068 266010863414 377563806136 532021726828 755127612272 1064043453656 1463059748777 2128086907312 2926119497554 5852238995108 11704477990216 23408955980432