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2720460625116 = 22313193892359471
BaseRepresentation
bin100111100101101000000…
…101101101010011011100
3100122001222120121200211020
4213211220011231103130
5324033000410000431
65441432400324140
7400355356526613
oct47455005552334
910561876550736
102720460625116
11959817111a13
1237b2b0913650
131696cc955b80
149595730287a
154ab7348c696
hex2796816d4dc

2720460625116 has 96 divisors (see below), whose sum is σ = 7214321587200. Its totient is φ = 790969847040.

The previous prime is 2720460625079. The next prime is 2720460625123. The reversal of 2720460625116 is 6115260640272.

2720460625116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26740 + ... + 2332731.

It is an arithmetic number, because the mean of its divisors is an integer number (75149183200).

Almost surely, 22720460625116 is an apocalyptic number.

2720460625116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2720460625116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607160793600).

2720460625116 is an abundant number, since it is smaller than the sum of its proper divisors (4493860962084).

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

2720460625116 is a wasteful number, since it uses less digits than its factorization.

2720460625116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359899 (or 2359897 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 2720460625116 in words is "two trillion, seven hundred twenty billion, four hundred sixty million, six hundred twenty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 389 494 741 778 988 1167 1482 1556 2334 2964 4668 5057 7391 10114 14782 15171 20228 22173 29564 30342 44346 60684 88692 96083 192166 288249 384332 576498 1152996 2359471 4718942 7078413 9437884 14156826 28313652 30673123 44829949 61346246 89659898 92019369 122692492 134489847 179319796 184038738 268979694 368077476 537959388 582789337 917834219 1165578674 1748368011 1835668438 2331157348 2753502657 3496736022 3671336876 5507005314 6993472044 11014010628 11931844847 17438850161 23863689694 34877700322 35795534541 47727379388 52316550483 69755400644 71591069082 104633100966 143182138164 209266201932 226705052093 453410104186 680115156279 906820208372 1360230312558 2720460625116