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2077316242764 = 2237216331196949
BaseRepresentation
bin11110001110101001101…
…100100101110101001100
321100120220201222221010220
4132032221230211311030
5233013320424232024
64230150024231340
7303036555503400
oct36165154456514
97316821887126
102077316242764
11730a91955384
1229672100b550
13120b7567b949
1472785023100
1539080a73e79
hex1e3a9b25d4c

2077316242764 has 144 divisors (see below), whose sum is σ = 5675656896000. Its totient is φ = 589603722624.

The previous prime is 2077316242763. The next prime is 2077316242777. The reversal of 2077316242764 is 4672426137702.

It is a super-2 number, since 2×20773162427642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2077316242763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298933962 + ... + 298940910.

It is an arithmetic number, because the mean of its divisors is an integer number (39414284000).

Almost surely, 22077316242764 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 2077316242764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837828448000).

2077316242764 is an abundant number, since it is smaller than the sum of its proper divisors (3598340653236).

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

2077316242764 is a wasteful number, since it uses less digits than its factorization.

2077316242764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10252 (or 10243 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 51.

The spelling of 2077316242764 in words is "two trillion, seventy-seven billion, three hundred sixteen million, two hundred forty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 163 196 294 326 489 588 652 978 1141 1956 2282 3119 3423 4564 6238 6846 6949 7987 9357 12476 13692 13898 15974 18714 20847 21833 23961 27796 31948 37428 41694 43666 47922 48643 65499 83388 87332 95844 97286 130998 145929 152831 194572 261996 291858 305662 340501 458493 508397 583716 611324 681002 916986 1016794 1021503 1132687 1362004 1525191 1833972 2033588 2043006 2265374 3050382 3398061 3558779 4086012 4530748 6100764 6796122 7117558 7928809 10676337 13592244 14235116 15857618 21352674 21673931 23786427 24911453 31715236 42705348 43347862 47572854 49822906 55501663 65021793 74734359 86695724 95145708 99645812 111003326 130043586 149468718 151717517 166504989 222006652 260087172 298937436 303435034 333009978 455152551 606870068 666019956 910305102 1062022619 1820610204 2124045238 3186067857 3532850753 4248090476 6372135714 7065701506 10598552259 12744271428 14131403012 21197104518 24729955271 42394209036 49459910542 74189865813 98919821084 148379731626 173109686897 296759463252 346219373794 519329060691 692438747588 1038658121382 2077316242764