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2116286390772 = 2233139257548533
BaseRepresentation
bin11110110010111100011…
…111111010000111110100
321111022111122012120022000
4132302330133322013310
5234133123304001042
64300113013535300
7305616356342301
oct36627437720764
97438448176260
102116286390772
1174656a550374
122a2198044530
13124746271518
14746009120a8
153a0b1e2e74c
hex1ecbc7fa1f4

2116286390772 has 96 divisors (see below), whose sum is σ = 5547653462400. Its totient is φ = 697627385856.

The previous prime is 2116286390759. The next prime is 2116286390783. The reversal of 2116286390772 is 2770936826112.

It is a happy number.

2116286390772 is a `hidden beast` number, since 2 + 1 + 1 + 628 + 6 + 3 + 9 + 0 + 7 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3583818 + ... + 4132350.

It is an arithmetic number, because the mean of its divisors is an integer number (57788056900).

Almost surely, 22116286390772 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 2116286390772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773826731200).

2116286390772 is an abundant number, since it is smaller than the sum of its proper divisors (3431367071628).

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

2116286390772 is a wasteful number, since it uses less digits than its factorization.

2116286390772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548942 (or 548934 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2116286390772 in words is "two trillion, one hundred sixteen billion, two hundred eighty-six million, three hundred ninety thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 257 278 417 514 556 771 834 1028 1251 1542 1668 2313 2502 3084 3753 4626 5004 6939 7506 9252 13878 15012 27756 35723 71446 107169 142892 214338 321507 428676 548533 643014 964521 1097066 1286028 1645599 1929042 2194132 3291198 3858084 4936797 6582396 9873594 14810391 19747188 29620782 59241564 76246087 140972981 152492174 228738261 281945962 304984348 422918943 457476522 563891924 686214783 845837886 914953044 1268756829 1372429566 1691675772 2058644349 2537513658 2744859132 3806270487 4117288698 5075027316 7612540974 8234577396 15225081948 19595244359 39190488718 58785733077 78380977436 117571466154 176357199231 235142932308 352714398462 529071597693 705428796924 1058143195386 2116286390772