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268163750978480 = 2457478863841033
BaseRepresentation
bin111100111110010010111101…
…000111100110001110110000
31022011111012111212202120112202
4330332102331013212032300
5240122043330222302410
62350200420531442332
7110325122510654150
oct7476227507461660
91264435455676482
10268163750978480
117849967645a465
12260abb217563a8
13b68296bb30616
144a312a2760760
15210084b9caca5
hexf3e4bd1e63b0

268163750978480 has 40 divisors (see below), whose sum is σ = 712549395458592. Its totient is φ = 91941857478144.

The previous prime is 268163750978477. The next prime is 268163750978537. The reversal of 268163750978480 is 84879057361862.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2681637509784802 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268163750978398 and 268163750978407.

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, 239431919957 + ... + 239431921076.

It is a 1-persistent number, because it is pandigital, but 2⋅268163750978480 = 536327501956960 is not.

Almost surely, 2268163750978480 is an apocalyptic number.

268163750978480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268163750978480 is an abundant number, since it is smaller than the sum of its proper divisors (444385644480112).

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

268163750978480 is a wasteful number, since it uses less digits than its factorization.

268163750978480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478863841053 (or 478863841047 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 74.

The spelling of 268163750978480 in words is "two hundred sixty-eight trillion, one hundred sixty-three billion, seven hundred fifty million, nine hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 478863841033 957727682066 1915455364132 2394319205165 3352046887231 3830910728264 4788638410330 6704093774462 7661821456528 9577276820660 13408187548924 16760234436155 19154553641320 26816375097848 33520468872310 38309107282640 53632750195696 67040937744620 134081875489240 268163750978480