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1490117289920 = 26575097431759
BaseRepresentation
bin10101101011110001111…
…010010110011111000000
312021110020211120110010022
4111223301322112133000
5143403230011234140
63100314520553012
7212441331656510
oct25536172263700
95243224513108
101490117289920
11524a563a9aa6
12200965322768
13aa695b1466c
145219cd19840
1528b649590b5
hex15af1e967c0

1490117289920 has 224 divisors, whose sum is σ = 4070996582400. Its totient is φ = 508917878784.

The previous prime is 1490117289919. The next prime is 1490117289943. The reversal of 1490117289920 is 299827110941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847138001 + ... + 847139759.

Almost surely, 21490117289920 is an apocalyptic number.

1490117289920 is a gapful number since it is divisible by the number (10) 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 1490117289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035498291200).

1490117289920 is an abundant number, since it is smaller than the sum of its proper divisors (2580879292480).

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

1490117289920 is a wasteful number, since it uses less digits than its factorization.

1490117289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 53.

The spelling of 1490117289920 in words is "one trillion, four hundred ninety billion, one hundred seventeen million, two hundred eighty-nine thousand, nine hundred twenty".