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2963888325972 = 223271732393947
BaseRepresentation
bin101011001000010101100…
…000101100010101010100
3101111100022110210011102200
4223020111200230111110
5342030020402412342
610145331433004500
7424063626043440
oct53102540542524
911440273704380
102963888325972
11a42a83767582
123ba508253730
131866551cba52
14a364accd820
155216e2c394c
hex2b21582c554

2963888325972 has 144 divisors (see below), whose sum is σ = 9097385431680. Its totient is φ = 797011653888.

The previous prime is 2963888325953. The next prime is 2963888325991. The reversal of 2963888325972 is 2795238883692.

2963888325972 is a `hidden beast` number, since 29 + 6 + 3 + 8 + 8 + 8 + 3 + 2 + 597 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2963888325953) and next prime (2963888325991).

It is a self number, because there is not a number n which added to its sum of digits gives 2963888325972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41103 + ... + 2435049.

It is an arithmetic number, because the mean of its divisors is an integer number (63176287720).

Almost surely, 22963888325972 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 2963888325972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548692715840).

2963888325972 is an abundant number, since it is smaller than the sum of its proper divisors (6133497105708).

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

2963888325972 is a wasteful number, since it uses less digits than its factorization.

2963888325972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394015 (or 2393976 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 2963888325972 in words is "two trillion, nine hundred sixty-three billion, eight hundred eighty-eight million, three hundred twenty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 289 306 357 476 578 612 714 867 1071 1156 1428 1734 2023 2142 2601 3468 4046 4284 4913 5202 6069 8092 9826 10404 12138 14739 18207 19652 24276 29478 34391 36414 44217 58956 68782 72828 88434 103173 137564 176868 206346 309519 412692 619038 1238076 2393947 4787894 7181841 9575788 14363682 16757629 21545523 28727364 33515258 40697099 43091046 50272887 67030516 81394198 86182092 100545774 122091297 150818661 162788396 201091548 244182594 284879693 301637322 366273891 488365188 569759386 603274644 691850683 732547782 854639079 1139518772 1383701366 1465095564 1709278158 2075552049 2563917237 2767402732 3418556316 4151104098 4842954781 5127834474 6226656147 8302208196 9685909562 10255668948 11761461611 12453312294 14528864343 19371819124 23522923222 24906624588 29057728686 35284384833 43586593029 47045846444 58115457372 70568769666 82330231277 87173186058 105853154499 141137539332 164660462554 174346372116 211706308998 246990693831 329320925108 423412617996 493981387662 740972081493 987962775324 1481944162986 2963888325972