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77007226157264 = 24131572358134069
BaseRepresentation
bin10001100000100110100100…
…010111000011100011010000
3101002122211002222212120102002
4101200212210113003203100
540043141244344013024
6431440344210413132
722135405565152154
oct2140464427034320
9332584088776362
1077007226157264
112259a643656367
1287786242911a8
1333c799a450420
141503253689064
158d82047d36ae
hex4609a45c38d0

77007226157264 has 40 divisors (see below), whose sum is σ = 161701969448040. Its totient is φ = 35315415802368.

The previous prime is 77007226157201. The next prime is 77007226157291. The reversal of 77007226157264 is 46275162270077.

It can be written as a sum of positive squares in 4 ways, for example, as 5425135372864 + 71582090784400 = 2329192^2 + 8460620^2 .

It is a super-2 number, since 2×770072261572642 (a number of 29 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, 1179034379 + ... + 1179099690.

It is an arithmetic number, because the mean of its divisors is an integer number (4042549236201).

Almost surely, 277007226157264 is an apocalyptic number.

It is an amenable number.

77007226157264 is an abundant number, since it is smaller than the sum of its proper divisors (84694743290776).

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

77007226157264 is a wasteful number, since it uses less digits than its factorization.

77007226157264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358134247 (or 2358134241 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 56.

The spelling of 77007226157264 in words is "seventy-seven trillion, seven billion, two hundred twenty-six million, one hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 628 1256 2041 2512 4082 8164 16328 32656 2358134069 4716268138 9432536276 18865072552 30655742897 37730145104 61311485794 122622971588 245245943176 370227048833 490491886352 740454097666 1480908195332 2961816390664 4812951634829 5923632781328 9625903269658 19251806539316 38503613078632 77007226157264