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2928367488000 = 21035383139661
BaseRepresentation
bin101010100111010000010…
…011011100110000000000
3101100221121222001122010010
4222213100103130300000
5340434244034104000
610121135022104520
7421365450644163
oct52472023346000
911327558048103
102928367488000
11a29a06117239
123b365441b140
131831b4108326
14a1a3b565ada
1551290b60d50
hex2a9d04dcc00

2928367488000 has 704 divisors, whose sum is σ = 9944151759360. Its totient is φ = 764780544000.

The previous prime is 2928367487993. The next prime is 2928367488001. The reversal of 2928367488000 is 8847638292.

It is a happy number.

It is a super-2 number, since 2×29283674880002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2928367488001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4430207670 + ... + 4430208330.

Almost surely, 22928367488000 is an apocalyptic number.

2928367488000 is a gapful number since it is divisible by the number (20) 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 2928367488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972075879680).

2928367488000 is an abundant number, since it is smaller than the sum of its proper divisors (7015784271360).

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

2928367488000 is a wasteful number, since it uses less digits than its factorization.

2928367488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 2928367488000 in words is "two trillion, nine hundred twenty-eight billion, three hundred sixty-seven million, four hundred eighty-eight thousand".