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117834236022816 = 2533217962589361
BaseRepresentation
bin11010110010101101101011…
…110001111101000000100000
3120110012211202111202122202000
4122302231223301331000200
5110421044003410212231
61054340144542324000
733551146134133515
oct3262555361750040
9513184674678660
10117834236022816
1134600245336965
1211271093289600
13509994a71a701
1421152c937930c
15d95213b756e6
hex6b2b6bc7d020

117834236022816 has 96 divisors (see below), whose sum is σ = 343840919083200. Its totient is φ = 39260052311040.

The previous prime is 117834236022743. The next prime is 117834236022847. The reversal of 117834236022816 is 618220632438711.

117834236022816 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 3 + 4 + 2 + 3 + 602 + 28 + 1 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 29412025 + ... + 33177336.

It is an arithmetic number, because the mean of its divisors is an integer number (3581676240450).

Almost surely, 2117834236022816 is an apocalyptic number.

117834236022816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117834236022816 is an abundant number, since it is smaller than the sum of its proper divisors (226006683060384).

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

117834236022816 is a wasteful number, since it uses less digits than its factorization.

117834236022816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62591559 (or 62591545 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 117834236022816 in words is "one hundred seventeen trillion, eight hundred thirty-four billion, two hundred thirty-six million, twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2179 4358 6537 8716 13074 17432 19611 26148 34864 39222 52296 58833 69728 78444 104592 117666 156888 209184 235332 313776 470664 627552 941328 1882656 62589361 125178722 187768083 250357444 375536166 500714888 563304249 751072332 1001429776 1126608498 1502144664 1689912747 2002859552 2253216996 3004289328 3379825494 4506433992 6008578656 6759650988 9012867984 13519301976 18025735968 27038603952 54077207904 136382217619 272764435238 409146652857 545528870476 818293305714 1091057740952 1227439958571 1636586611428 2182115481904 2454879917142 3273173222856 3682319875713 4364230963808 4909759834284 6546346445712 7364639751426 9819519668568 13092692891424 14729279502852 19639039337136 29458559005704 39278078674272 58917118011408 117834236022816