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1004037703744 = 26314013126107
BaseRepresentation
bin11101001110001010100…
…11111000100001000000
310112222121010002000202011
432213011103320201000
5112422232123004434
62045125404302304
7132352663445035
oct16470523704100
93488533060664
101004037703744
113578a0121539
1214270a241994
13738ac95b85a
143684a7b338c
151b1b5e87e64
hexe9c54f8840

1004037703744 has 56 divisors (see below), whose sum is σ = 2057186688768. Its totient is φ = 485699781120.

The previous prime is 1004037703733. The next prime is 1004037703759. The reversal of 1004037703744 is 4473077304001.

It is a junction number, because it is equal to n+sod(n) for n = 1004037703697 and 1004037703706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7898739 + ... + 8024845.

Almost surely, 21004037703744 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 1004037703744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028593344384).

1004037703744 is an abundant number, since it is smaller than the sum of its proper divisors (1053148985024).

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

1004037703744 is a wasteful number, since it uses less digits than its factorization.

1004037703744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130163 (or 130153 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The spelling of 1004037703744 in words is "one trillion, four billion, thirty-seven million, seven hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 4013 8026 16052 32104 64208 124403 126107 128416 248806 252214 256832 497612 504428 995224 1008856 1990448 2017712 3909317 3980896 4035424 7818634 7961792 8070848 15637268 31274536 62549072 125098144 250196288 506067391 1012134782 2024269564 4048539128 8097078256 15688089121 16194156512 31376178242 32388313024 62752356484 125504712968 251009425936 502018851872 1004037703744