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135536422533216 = 2531797856178129
BaseRepresentation
bin11110110100010100001000…
…010100011011100001100000
3122202220011012022202112002020
4132310110020110123201200
5120231112043132030331
61200132323431021440
740356116620601625
oct3664241024334140
9582804168675066
10135536422533216
113a205746102501
121324ba4980a880
135a82050628b03
142567dd817034c
1510a09302c4c96
hex7b450851b860

135536422533216 has 96 divisors (see below), whose sum is σ = 380595151772640. Its totient is φ = 42082867347456.

The previous prime is 135536422533163. The next prime is 135536422533269. The reversal of 135536422533216 is 612335224635531.

It is an interprime number because it is at equal distance from previous prime (135536422533163) and next prime (135536422533269).

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 (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427930761 + ... + 428247368.

It is an arithmetic number, because the mean of its divisors is an integer number (3964532830965).

Almost surely, 2135536422533216 is an apocalyptic number.

135536422533216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135536422533216 is an abundant number, since it is smaller than the sum of its proper divisors (245058729239424).

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

135536422533216 is a wasteful number, since it uses less digits than its factorization.

135536422533216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856178256 (or 856178248 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 51.

The spelling of 135536422533216 in words is "one hundred thirty-five trillion, five hundred thirty-six billion, four hundred twenty-two million, five hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 97 102 136 194 204 272 291 388 408 544 582 776 816 1164 1552 1632 1649 2328 3104 3298 4656 4947 6596 9312 9894 13192 19788 26384 39576 52768 79152 158304 856178129 1712356258 2568534387 3424712516 5137068774 6849425032 10274137548 13698850064 14555028193 20548275096 27397700128 29110056386 41096550192 43665084579 58220112772 82193100384 83049278513 87330169158 116440225544 166098557026 174660338316 232880451088 249147835539 332197114052 349320676632 465760902176 498295671078 664394228104 698641353264 996591342156 1328788456208 1397282706528 1411837734721 1993182684312 2657576912416 2823675469442 3986365368624 4235513204163 5647350938884 7972730737248 8471026408326 11294701877768 16942052816652 22589403755536 33884105633304 45178807511072 67768211266608 135536422533216