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1426101664 = 251323314713
BaseRepresentation
bin101010100000000…
…1001010110100000
310200101110110201011
41111000021112200
510410040223124
6353302150304
750224443541
oct12500112640
93611413634
101426101664
11671aa7319
12339722394
131995ba250
14d75884c8
15852ed994
hex550095a0

1426101664 has 48 divisors (see below), whose sum is σ = 3036793032. Its totient is φ = 655331328.

The previous prime is 1426101659. The next prime is 1426101667. The reversal of 1426101664 is 4661016241.

It can be written as a sum of positive squares in 4 ways, for example, as 942981264 + 483120400 = 30708^2 + 21980^2 .

It is not an unprimeable number, because it can be changed into a prime (1426101667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89572 + ... + 104284.

Almost surely, 21426101664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518396516).

1426101664 is an abundant number, since it is smaller than the sum of its proper divisors (1610691368).

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

1426101664 is a wasteful number, since it uses less digits than its factorization.

1426101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14969 (or 14961 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1426101664 is about 37763.7612533498. The cubic root of 1426101664 is about 1125.5984737341.

The spelling of 1426101664 in words is "one billion, four hundred twenty-six million, one hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 233 416 466 932 1864 3029 3728 6058 7456 12116 14713 24232 29426 48464 58852 96928 117704 191269 235408 382538 470816 765076 1530152 3060304 3428129 6120608 6856258 13712516 27425032 44565677 54850064 89131354 109700128 178262708 356525416 713050832 1426101664