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1002245673408 = 26374491660843
BaseRepresentation
bin11101001010110100111…
…11110101000111000000
310112210222020001110021020
432211122133311013000
5112410044343022113
62044231511025440
7132260403442560
oct16453237650700
93483866043236
101002245673408
11357060610631
121422aa06b280
13736855cc185
143671a7b2da0
151b10d9a6023
hexe95a7f51c0

1002245673408 has 112 divisors (see below), whose sum is σ = 3037351507200. Its totient is φ = 285717970944.

The previous prime is 1002245673379. The next prime is 1002245673409. The reversal of 1002245673408 is 8043765422001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1002245673408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002245673409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226966 + ... + 1433877.

Almost surely, 21002245673408 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 1002245673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518675753600).

1002245673408 is an abundant number, since it is smaller than the sum of its proper divisors (2035105833792).

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

1002245673408 is a wasteful number, since it uses less digits than its factorization.

1002245673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661314 (or 1661304 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 1002245673408 in words is "one trillion, two billion, two hundred forty-five million, six hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 449 672 898 1344 1347 1796 2694 3143 3592 5388 6286 7184 9429 10776 12572 14368 18858 21552 25144 28736 37716 43104 50288 75432 86208 100576 150864 201152 301728 603456 1660843 3321686 4982529 6643372 9965058 11625901 13286744 19930116 23251802 26573488 34877703 39860232 46503604 53146976 69755406 79720464 93007208 106293952 139510812 159440928 186014416 279021624 318881856 372028832 558043248 744057664 745718507 1116086496 1491437014 2232172992 2237155521 2982874028 4474311042 5220029549 5965748056 8948622084 10440059098 11931496112 15660088647 17897244168 20880118196 23862992224 31320177294 35794488336 41760236392 47725984448 62640354588 71588976672 83520472784 125280709176 143177953344 167040945568 250561418352 334081891136 501122836704 1002245673408