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2933869898976 = 253471021636863
BaseRepresentation
bin101010101100011000010…
…001011110110011100000
3101101110211102211001222020
4222230120101132303200
5341032031143231401
610123445021541440
7421652013446532
oct52543021366340
911343742731866
102933869898976
11a3127a088025
123b472b114880
13183880084503
14a2000249852
15514b3c59d36
hex2ab1845ece0

2933869898976 has 96 divisors (see below), whose sum is σ = 7872984096768. Its totient is φ = 956210081280.

The previous prime is 2933869898957. The next prime is 2933869898989. The reversal of 2933869898976 is 6798989683392.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2933869898892 and 2933869898901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4288321 + ... + 4925183.

It is an arithmetic number, because the mean of its divisors is an integer number (82010251008).

Almost surely, 22933869898976 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 2933869898976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936492048384).

2933869898976 is an abundant number, since it is smaller than the sum of its proper divisors (4939114197792).

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

2933869898976 is a wasteful number, since it uses less digits than its factorization.

2933869898976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637944 (or 637936 counting only the distinct ones).

The product of its digits is 15237476352, while the sum is 87.

The spelling of 2933869898976 in words is "two trillion, nine hundred thirty-three billion, eight hundred sixty-nine million, eight hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1021 1128 1504 2042 2256 3063 4084 4512 6126 8168 12252 16336 24504 32672 47987 49008 95974 98016 143961 191948 287922 383896 575844 636863 767792 1151688 1273726 1535584 1910589 2303376 2547452 3821178 4606752 5094904 7642356 10189808 15284712 20379616 29932561 30569424 59865122 61138848 89797683 119730244 179595366 239460488 359190732 478920976 650237123 718381464 957841952 1300474246 1436762928 1950711369 2600948492 2873525856 3901422738 5201896984 7802845476 10403793968 15605690952 20807587936 30561144781 31211381904 61122289562 62422763808 91683434343 122244579124 183366868686 244489158248 366733737372 488978316496 733467474744 977956632992 1466934949488 2933869898976