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2152531456504 = 23111319344921713
BaseRepresentation
bin11111010100101100110…
…111110111000111111000
321121210001121200200022221
4133110230313313013320
5240231341023102004
64324505335253424
7311341510331002
oct37245467670770
97553047620287
102152531456504
1175a979988750
122a921251a274
13127ca1407b90
147627c51d372
153aed3e4d354
hex1f52cdf71f8

2152531456504 has 128 divisors (see below), whose sum is σ = 4776993144000. Its totient is φ = 896438108160.

The previous prime is 2152531456501. The next prime is 2152531456511. The reversal of 2152531456504 is 4056541352512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152531456501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99124752 + ... + 99146464.

Almost surely, 22152531456504 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 2152531456504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388496572000).

2152531456504 is an abundant number, since it is smaller than the sum of its proper divisors (2624461687496).

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

2152531456504 is a wasteful number, since it uses less digits than its factorization.

2152531456504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22385 (or 22381 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 43.

The spelling of 2152531456504 in words is "two trillion, one hundred fifty-two billion, five hundred thirty-one million, four hundred fifty-six thousand, five hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 193 286 386 449 572 772 898 1144 1544 1796 2123 2509 3592 4246 4939 5018 5837 8492 9878 10036 11674 16984 19756 20072 21713 23348 27599 39512 43426 46696 55198 64207 86657 86852 110396 128414 173314 173704 220792 238843 256828 282269 346628 477686 513656 564538 693256 953227 955372 1126541 1129076 1906454 1910744 2253082 2258152 3104959 3812908 4190609 4506164 6209918 7625816 8381218 9012328 9749137 12391951 12419836 16762436 19498274 24783902 24839672 33524872 38996548 46096699 49567804 54477917 77993096 92193398 99135608 107240507 108955834 126738781 184386796 214481014 217911668 253477562 368773592 428962028 435823336 506955124 599257087 857924056 1013910248 1198514174 1394126591 1881583441 2397028348 2788253182 3763166882 4794056696 5576506364 7526333764 11153012728 15052667528 20697417851 24460584733 41394835702 48921169466 82789671404 97842338932 165579342808 195684677864 269066432063 538132864126 1076265728252 2152531456504