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245130435552 = 25323238946471
BaseRepresentation
bin1110010001001011101…
…0011001101111100000
3212102201120011100111110
43210102322121233200
513004011342414202
6304340015543320
723465363215602
oct3442272315740
9772646140443
10245130435552
1194a60816422
123b61182ab40
131a16726c102
14bc15bc5172
15659a57a26c
hex3912e99be0

245130435552 has 96 divisors (see below), whose sum is σ = 671739747840. Its totient is φ = 78123133440.

The previous prime is 245130435533. The next prime is 245130435553. The reversal of 245130435552 is 255534031542.

245130435552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 245130435552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245130435553) 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 15 ways as a sum of consecutive naturals, for example, 5251677 + ... + 5298147.

It is an arithmetic number, because the mean of its divisors is an integer number (6997289040).

Almost surely, 2245130435552 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 245130435552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335869873920).

245130435552 is an abundant number, since it is smaller than the sum of its proper divisors (426609312288).

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

245130435552 is a wasteful number, since it uses less digits than its factorization.

245130435552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48896 (or 48888 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 245130435552 in words is "two hundred forty-five billion, one hundred thirty million, four hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 2389 4778 7167 9556 14334 19112 28668 38224 46471 54947 57336 76448 92942 109894 114672 139413 164841 185884 219788 229344 278826 329682 371768 439576 557652 659364 743536 879152 1068833 1115304 1318728 1487072 1758304 2137666 2230608 2637456 3206499 4275332 4461216 5274912 6412998 8550664 12825996 17101328 25651992 34202656 51303984 102607968 111019219 222038438 333057657 444076876 666115314 888153752 1332230628 1776307504 2553442037 2664461256 3552615008 5106884074 5328922512 7660326111 10213768148 10657845024 15320652222 20427536296 30641304444 40855072592 61282608888 81710145184 122565217776 245130435552