Search a number
-
+
48545916463488 = 273166376020239
BaseRepresentation
bin10110000100110111110100…
…00110110010100110000000
320100212221111101110011001010
423002123322012302212000
522330334014103312423
6251125404112440520
713140220031326053
oct1302337206624600
9210787441404033
1048545916463488
1114517231288394
125540635249140
132111b250599c2
14bdb8c6210a9a
15592bcd8d3693
hex2c26fa1b2980

48545916463488 has 64 divisors (see below), whose sum is σ = 129027632947200. Its totient is φ = 16172241351168.

The previous prime is 48545916463411. The next prime is 48545916463547. The reversal of 48545916463488 is 88436461954584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×485459164634882 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37371528 + ... + 38648711.

It is an arithmetic number, because the mean of its divisors is an integer number (2016056764800).

Almost surely, 248545916463488 is an apocalyptic number.

48545916463488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48545916463488 is an abundant number, since it is smaller than the sum of its proper divisors (80481716483712).

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

48545916463488 is a wasteful number, since it uses less digits than its factorization.

48545916463488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76021919 (or 76021907 counting only the distinct ones).

The product of its digits is 3185049600, while the sum is 75.

The spelling of 48545916463488 in words is "forty-eight trillion, five hundred forty-five billion, nine hundred sixteen million, four hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1663 3326 4989 6652 9978 13304 19956 26608 39912 53216 79824 106432 159648 212864 319296 638592 76020239 152040478 228060717 304080956 456121434 608161912 912242868 1216323824 1824485736 2432647648 3648971472 4865295296 7297942944 9730590592 14595885888 29191771776 126421657457 252843314914 379264972371 505686629828 758529944742 1011373259656 1517059889484 2022746519312 3034119778968 4045493038624 6068239557936 8090986077248 12136479115872 16181972154496 24272958231744 48545916463488