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2534361403032 = 2332374092326007
BaseRepresentation
bin100100111000010011101…
…101100000111010011000
322222021122000002200210100
4210320103231200322120
5313010333004344112
65220134120215400
7351046560326124
oct44702355407230
98867560080710
102534361403032
118978a8a39a28
1234b21460a560
13154cb2515194
148a94146a584
1545dd059c2dc
hex24e13b60e98

2534361403032 has 96 divisors (see below), whose sum is σ = 7066644904800. Its totient is φ = 819945027072.

The previous prime is 2534361403019. The next prime is 2534361403039. The reversal of 2534361403032 is 2303041634352.

2534361403032 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 3 + 614 + 0 + 3 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534361403039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73428 + ... + 2252579.

It is an arithmetic number, because the mean of its divisors is an integer number (73610884425).

Almost surely, 22534361403032 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 2534361403032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533322452400).

2534361403032 is an abundant number, since it is smaller than the sum of its proper divisors (4532283501768).

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

2534361403032 is a wasteful number, since it uses less digits than its factorization.

2534361403032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326465 (or 2326458 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 2534361403032 in words is "two trillion, five hundred thirty-four billion, three hundred sixty-one million, four hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 409 444 666 818 888 1227 1332 1636 2454 2664 3272 3681 4908 7362 9816 14724 15133 29448 30266 45399 60532 90798 121064 136197 181596 272394 363192 544788 1089576 2326007 4652014 6978021 9304028 13956042 18608056 20934063 27912084 41868126 55824168 83736252 86062259 167472504 172124518 258186777 344249036 516373554 688498072 774560331 951336863 1032747108 1549120662 1902673726 2065494216 2854010589 3098241324 3805347452 5708021178 6196482648 7610694904 8562031767 11416042356 17124063534 22832084712 34248127068 35199463931 68496254136 70398927862 105598391793 140797855724 211196783586 281595711448 316795175379 422393567172 633590350758 844787134344 1267180701516 2534361403032