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1148332583640 = 23351142110871901
BaseRepresentation
bin10000101101011101111…
…101001010101011011000
311001210001021100102010010
4100231131331022223120
5122303241120134030
62235311532321520
7145651515624054
oct20553575125330
94053037312103
101148332583640
114030068964a0
1216667a3132a0
13843972696a8
143d818594c64
151ed0dc7b6b0
hex10b5df4aad8

1148332583640 has 256 divisors, whose sum is σ = 3772555223040. Its totient is φ = 277320960000.

The previous prime is 1148332583617. The next prime is 1148332583659. The reversal of 1148332583640 is 463852338411.

It is a self number, because there is not a number n which added to its sum of digits gives 1148332583640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 604066690 + ... + 604068590.

It is an arithmetic number, because the mean of its divisors is an integer number (14736543840).

Almost surely, 21148332583640 is an apocalyptic number.

1148332583640 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 1148332583640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886277611520).

1148332583640 is an abundant number, since it is smaller than the sum of its proper divisors (2624222639400).

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

1148332583640 is a wasteful number, since it uses less digits than its factorization.

1148332583640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 1148332583640 in words is "one trillion, one hundred forty-eight billion, three hundred thirty-two million, five hundred eighty-three thousand, six hundred forty".