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134684417641632 = 25333114281296797
BaseRepresentation
bin11110100111111010101000…
…110111101100110010100000
3122122212201000122020120020220
4132213322220313230302200
5120123132141404013012
61154241100045203040
740240425265530105
oct3647725067546240
9578781018216226
10134684417641632
1139a073825a7a71
12131328aab60480
135a1c8bc441a51
142538a91108aac
1510886b661108c
hex7a7ea8decca0

134684417641632 has 96 divisors (see below), whose sum is σ = 354640739027904. Its totient is φ = 44755887052800.

The previous prime is 134684417641619. The next prime is 134684417641637. The reversal of 134684417641632 is 236146714486431.

It is a happy number.

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

It is a super-3 number, since 3×1346844176416323 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (134684417641637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453644658 + ... + 453941454.

It is an arithmetic number, because the mean of its divisors is an integer number (3694174364874).

Almost surely, 2134684417641632 is an apocalyptic number.

134684417641632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134684417641632 is an abundant number, since it is smaller than the sum of its proper divisors (219956321386272).

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

134684417641632 is a wasteful number, since it uses less digits than its factorization.

134684417641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311422 (or 311414 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 60.

The spelling of 134684417641632 in words is "one hundred thirty-four trillion, six hundred eighty-four billion, four hundred seventeen million, six hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 662 993 1324 1986 2648 3972 5296 7944 10592 14281 15888 28562 31776 42843 57124 85686 114248 171372 228496 296797 342744 456992 593594 685488 890391 1187188 1370976 1780782 2374376 3561564 4727011 4748752 7123128 9454022 9497504 14181033 14246256 18908044 28362066 28492512 37816088 56724132 75632176 98239807 113448264 151264352 196479614 226896528 294719421 392959228 453793056 589438842 785918456 1178877684 1571836912 2357755368 3143673824 4238557957 4715510736 8477115914 9431021472 12715673871 16954231828 25431347742 33908463656 50862695484 67816927312 101725390968 135633854624 203450781936 406901563872 1402962683767 2805925367534 4208888051301 5611850735068 8417776102602 11223701470136 16835552205204 22447402940272 33671104410408 44894805880544 67342208820816 134684417641632