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20235703488 = 26371113211499
BaseRepresentation
bin10010110110001001…
…000101010011000000
31221020021001020122120
4102312021011103000
5312420320002423
613143545204240
71314313433040
oct226611052300
957207036576
1020235703488
1186445885a0
123b08a90680
131ba6482c60
14d9d71d720
157d67c8ee3
hex4b62454c0

20235703488 has 448 divisors, whose sum is σ = 72371712000. Its totient is φ = 4819046400.

The previous prime is 20235703469. The next prime is 20235703573. The reversal of 20235703488 is 88430753202.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×202357034882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40552263 + ... + 40552761.

It is an arithmetic number, because the mean of its divisors is an integer number (161544000).

Almost surely, 220235703488 is an apocalyptic number.

20235703488 is a gapful number since it is divisible by the number (28) 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 20235703488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36185856000).

20235703488 is an abundant number, since it is smaller than the sum of its proper divisors (52136008512).

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

20235703488 is a wasteful number, since it uses less digits than its factorization.

20235703488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 20235703488 in words is "twenty billion, two hundred thirty-five million, seven hundred three thousand, four hundred eighty-eight".