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245970370116 = 22345924672
BaseRepresentation
bin1110010100010011111…
…0011111111001000100
3212111220002122110010000
43211010332133321010
513012221403320431
6304555222401300
723525242435452
oct3450476377104
9774802573100
10245970370116
1195351952719
123b806b90230
131a26c294b03
14bc955879d2
1565e918e9e6
hex3944f9fe44

245970370116 has 135 divisors (see below), whose sum is σ = 655502055439. Its totient is φ = 80427868272.

The previous prime is 245970370109. The next prime is 245970370153. The reversal of 245970370116 is 611073079542.

The square root of 245970370116 is 495954.

It is a perfect power (a square), and thus also a powerful number.

245970370116 is a `hidden beast` number, since 24 + 597 + 0 + 37 + 0 + 1 + 1 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 526702915 + ... + 526703381.

Almost surely, 2245970370116 is an apocalyptic number.

245970370116 is the 495954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245970370116

245970370116 is an abundant number, since it is smaller than the sum of its proper divisors (409531685323).

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

245970370116 is an frugal number, since it uses more digits than its factorization.

245970370116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 245970370116 in words is "two hundred forty-five billion, nine hundred seventy million, three hundred seventy thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 467 531 708 934 1062 1401 1593 1868 2124 2802 3186 3481 4203 4779 5604 6372 6962 8406 9558 10443 12609 13924 16812 19116 20886 25218 27553 31329 37827 41772 50436 55106 62658 75654 82659 93987 110212 125316 151308 165318 187974 218089 247977 281961 330636 375948 436178 495954 563922 654267 743931 872356 991908 1127844 1308534 1487862 1625627 1962801 2231793 2617068 2975724 3251254 3925602 4463586 4876881 5888403 6502508 7851204 8927172 9753762 11776806 12867251 14630643 17665209 19507524 23553612 25734502 29261286 35330418 38601753 43891929 51469004 58522572 70660836 77203506 87783858 115805259 131675787 154407012 175567716 231610518 263351574 347415777 463221036 526703148 694831554 759167809 1042247331 1389663108 1518335618 2084494662 2277503427 3036671236 4168989324 4555006854 6832510281 9110013708 13665020562 20497530843 27330041124 40995061686 61492592529 81990123372 122985185058 245970370116