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426666240000 = 21132547111337
BaseRepresentation
bin1100011010101110100…
…10100010100000000000
31111210022002210201101100
412031113102202200000
523442303024140000
6524001402134400
742553121125650
oct6152722424000
91453262721340
10426666240000
11154a47a73180
126a8357b1400
1331308130890
1416917964360
15b172a01a00
hex63574a2800

426666240000 has 2880 divisors, whose sum is σ = 2123396795520. Its totient is φ = 79626240000.

The previous prime is 426666239977. The next prime is 426666240017. The reversal of 426666240000 is 42666624.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11531519982 + ... + 11531520018.

It is an arithmetic number, because the mean of its divisors is an integer number (737290554).

Almost surely, 2426666240000 is an apocalyptic number.

426666240000 is a gapful number since it is divisible by the number (40) 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 426666240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061698397760).

426666240000 is an abundant number, since it is smaller than the sum of its proper divisors (1696730555520).

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

426666240000 is a wasteful number, since it uses less digits than its factorization.

426666240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

426666240000 divided by its reverse (42666624) gives a 4-th power (10000 = 104).

It can be divided in two parts, 426666 and 240000, that added together give a palindrome (666666).

The spelling of 426666240000 in words is "four hundred twenty-six billion, six hundred sixty-six million, two hundred forty thousand".