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12701426430 = 23571143711801
BaseRepresentation
bin10111101010001000…
…00110001011111110
31012210011222022112010
423311010012023332
5202003031121210
65500203352050
7626516225520
oct136504061376
935704868463
1012701426430
115428695740
122565822626
131275583254
14886c47a10
154e5125920
hex2f51062fe

12701426430 has 256 divisors, whose sum is σ = 39458783232. Its totient is φ = 2540160000.

The previous prime is 12701426401. The next prime is 12701426447. The reversal of 12701426430 is 3462410721.

It is a super-2 number, since 2×127014264302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7051530 + ... + 7053330.

It is an arithmetic number, because the mean of its divisors is an integer number (154135872).

Almost surely, 212701426430 is an apocalyptic number.

12701426430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12701426430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729391616).

12701426430 is an abundant number, since it is smaller than the sum of its proper divisors (26757356802).

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

12701426430 is a wasteful number, since it uses less digits than its factorization.

12701426430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943.

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 12701426430 in words is "twelve billion, seven hundred one million, four hundred twenty-six thousand, four hundred thirty".