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2328914719432 = 2371731503156887
BaseRepresentation
bin100001111000111110001…
…000100111001011001000
322020122100001220211000201
4201320332020213023020
5301124104132010212
64541515540541544
7330154451330110
oct41707610471310
98218301824021
102328914719432
1181876170a824
123174389b18b4
1313b80095c102
1480a11c50040
15408a8d8ab57
hex21e3e2272c8

2328914719432 has 128 divisors (see below), whose sum is σ = 5465425674240. Its totient is φ = 907278013440.

The previous prime is 2328914719379. The next prime is 2328914719433. The reversal of 2328914719432 is 2349174198232.

It is not an unprimeable number, because it can be changed into a prime (2328914719433) 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 31 ways as a sum of consecutive naturals, for example, 14766093 + ... + 14922979.

It is an arithmetic number, because the mean of its divisors is an integer number (42698638080).

Almost surely, 22328914719432 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 2328914719432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732712837120).

2328914719432 is an abundant number, since it is smaller than the sum of its proper divisors (3136510954808).

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

2328914719432 is a wasteful number, since it uses less digits than its factorization.

2328914719432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157451 (or 157447 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 2328914719432 in words is "two trillion, three hundred twenty-eight billion, nine hundred fourteen million, seven hundred nineteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 217 238 248 434 476 503 527 868 952 1006 1054 1736 2012 2108 3521 3689 4024 4216 7042 7378 8551 14084 14756 15593 17102 28168 29512 31186 34204 59857 62372 68408 109151 119714 124744 156887 218302 239428 265081 313774 436604 478856 530162 627548 873208 1060324 1098209 1255096 1855567 2120648 2196418 2667079 3711134 4392836 4863497 5334158 7422268 8785672 9726994 10668316 14844536 18669553 19453988 21336632 34044479 37339106 38907976 68088958 74678212 78914161 82679449 136177916 149356424 157828322 165358898 272355832 315656644 330717796 552399127 578756143 631313288 661435592 1104798254 1157512286 1341540737 2209596508 2315024572 2446338991 2683081474 4419193016 4630049144 4892677982 5366162948 9390785159 9785355964 10732325896 17124372937 18781570318 19570711928 34248745874 37563140636 41587762847 68497491748 75126281272 83175525694 136994983496 166351051388 291114339929 332702102776 582228679858 1164457359716 2328914719432