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255421292406280 = 2357111321943641937
BaseRepresentation
bin111010000100110111100111…
…011001101110011000001000
31020111101001000000220010111021
4322010313213121232120020
5231434310301324000110
62303122531041442224
7104541402510131260
oct7204674731563010
91214331000803437
10255421292406280
117442661a820280
1224792436040374
13ac6a180768800
1447106569647a0
151e7e1622752da
hexe84de766e608

255421292406280 has 1536 divisors, whose sum is σ = 837886842777600. Its totient is φ = 67822446182400.

The previous prime is 255421292406271. The next prime is 255421292406281. The reversal of 255421292406280 is 82604292124552.

255421292406280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2554212924062802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (255421292406281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 272594761972 + ... + 272594762908.

It is an arithmetic number, because the mean of its divisors is an integer number (545499246600).

Almost surely, 2255421292406280 is an apocalyptic number.

255421292406280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255421292406280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418943421388800).

255421292406280 is an abundant number, since it is smaller than the sum of its proper divisors (582465550371320).

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

255421292406280 is a wasteful number, since it uses less digits than its factorization.

255421292406280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 255421292406280 in words is "two hundred fifty-five trillion, four hundred twenty-one billion, two hundred ninety-two million, four hundred six thousand, two hundred eighty".