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245605641330 = 23573896774441
BaseRepresentation
bin1110010010111100111…
…1001010110001110010
3212110221200100022021110
43210233033022301302
513011000021010310
6304455113134150
723513223335310
oct3445717126162
9773850308243
10245605641330
1195184a88575
123b7249ba356
131a21185286a
14bc5cd650b0
1565c7146d20
hex392f3cac72

245605641330 has 128 divisors (see below), whose sum is σ = 676542896640. Its totient is φ = 55898818560.

The previous prime is 245605641317. The next prime is 245605641349. The reversal of 245605641330 is 33146506542.

245605641330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55301910 + ... + 55306350.

It is an arithmetic number, because the mean of its divisors is an integer number (5285491380).

Almost surely, 2245605641330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245605641330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338271448320).

245605641330 is an abundant number, since it is smaller than the sum of its proper divisors (430937255310).

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

245605641330 is a wasteful number, since it uses less digits than its factorization.

245605641330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524.

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 245605641330 in words is "two hundred forty-five billion, six hundred five million, six hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 389 677 778 1167 1354 1945 2031 2334 2723 3385 3890 4062 4441 4739 5446 5835 6770 8169 8882 9478 10155 11670 13323 13615 14217 16338 20310 22205 23695 26646 27230 28434 31087 40845 44410 47390 62174 66615 71085 81690 93261 133230 142170 155435 186522 263353 310870 466305 526706 790059 932610 1316765 1580118 1727549 1843471 2633530 3006557 3455098 3686942 3950295 5182647 5530413 6013114 7900590 8637745 9019671 9217355 10365294 11060826 12092843 15032785 17275490 18039342 18434710 21045899 24185686 25913235 27652065 30065570 36278529 42091798 45098355 51826470 55304130 60464215 63137697 72557058 90196710 105229495 120928430 126275394 181392645 210458990 315688485 362785290 631376970 1169550673 2339101346 3508652019 5847753365 7017304038 8186854711 11695506730 16373709422 17543260095 24560564133 35086520190 40934273555 49121128266 81868547110 122802820665 245605641330