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1004120485016 = 2311234021123379
BaseRepresentation
bin11101001110010100011…
…11101010110010011000
310112222210212211202022012
432213022033222302120
5112422414321010031
62045141522445052
7132355020203615
oct16471217526230
93488725752265
101004120485016
11357932922310
12142731b03788
13738c3b53b5c
14368577a150c
151b1bd38ab2b
hexe9ca3eac98

1004120485016 has 64 divisors (see below), whose sum is σ = 2143732435200. Its totient is φ = 436462012800.

The previous prime is 1004120485007. The next prime is 1004120485061. The reversal of 1004120485016 is 6105840214001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8076815 + ... + 8200193.

It is an arithmetic number, because the mean of its divisors is an integer number (33495819300).

Almost surely, 21004120485016 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 1004120485016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071866217600).

1004120485016 is an abundant number, since it is smaller than the sum of its proper divisors (1139611950184).

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

1004120485016 is a wasteful number, since it uses less digits than its factorization.

1004120485016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127440 (or 127436 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 1004120485016 its reverse (6105840214001), we get a palindrome (7109960699017).

The spelling of 1004120485016 in words is "one trillion, four billion, one hundred twenty million, four hundred eighty-five thousand, sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 4021 8042 16084 32168 44231 88462 92483 123379 176924 184966 246758 353848 369932 493516 739864 987032 1017313 1357169 2034626 2714338 2837717 4069252 5428676 5675434 8138504 10857352 11350868 22701736 31214887 62429774 124859548 249719096 496106959 992213918 1984427836 3968855672 5457176549 10914353098 11410460057 21828706196 22820920114 43657412392 45641840228 91283680456 125515060627 251030121254 502060242508 1004120485016