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3360339361632 = 253116661477727
BaseRepresentation
bin110000111001100011110…
…101010111111101100000
3102220020121211100110120210
4300321203311113331200
5420023433334033012
611051415114334120
7464530225202601
oct60714365277540
912806554313523
103360339361632
111086125a694a0
1246330aa2a340
131b4b564b8896
14b88d99c9da8
155c62433c23c
hex30e63d57f60

3360339361632 has 96 divisors (see below), whose sum is σ = 9624254782464. Its totient is φ = 1018129651200.

The previous prime is 3360339361627. The next prime is 3360339361633. The reversal of 3360339361632 is 2361639330633.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33603393616322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3360339361633) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6795153 + ... + 7272879.

It is an arithmetic number, because the mean of its divisors is an integer number (100252653984).

Almost surely, 23360339361632 is an apocalyptic number.

3360339361632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3360339361632 is an abundant number, since it is smaller than the sum of its proper divisors (6263915420832).

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

3360339361632 is a wasteful number, since it uses less digits than its factorization.

3360339361632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484412 (or 484404 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 48.

The spelling of 3360339361632 in words is "three trillion, three hundred sixty billion, three hundred thirty-nine million, three hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 6661 13322 19983 26644 39966 53288 73271 79932 106576 146542 159864 213152 219813 293084 319728 439626 477727 586168 639456 879252 955454 1172336 1433181 1758504 1910908 2344672 2866362 3517008 3821816 5254997 5732724 7034016 7643632 10509994 11465448 15287264 15764991 21019988 22930896 31529982 42039976 45861792 63059964 84079952 126119928 168159904 252239856 504479712 3182139547 6364279094 9546418641 12728558188 19092837282 25457116376 35003535017 38185674564 50914232752 70007070034 76371349128 101828465504 105010605051 140014140068 152742698256 210021210102 280028280136 305485396512 420042420204 560056560272 840084840408 1120113120544 1680169680816 3360339361632