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3790376778321 = 3672103012
BaseRepresentation
bin110111001010000100000…
…011111011101001010001
3111102100121212121201000000
4313022010003323221101
5444100142423401241
612021135224520213
7540563033011200
oct67120403735121
914370555551000
103790376778321
111231542970601
12512725620069
1321657ab8ca63
14d1653177237
15688e2ca0eb6
hex372840fba51

3790376778321 has 63 divisors (see below), whose sum is σ = 6611438377803. Its totient is φ = 2165719323600.

The previous prime is 3790376778289. The next prime is 3790376778323. The reversal of 3790376778321 is 1238776730973.

It is a happy number.

The square root of 3790376778321 is 1946889.

It is a perfect power (a square), and thus also a powerful number.

3790376778321 is a `hidden beast` number, since 37 + 90 + 376 + 77 + 83 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3644620809921 + 145755968400 = 1909089^2 + 381780^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 3790376778321 - 25 = 3790376778289 is a prime.

It is a super-2 number, since 2×37903767783212 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3790376778323) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 367956871 + ... + 367967171.

Almost surely, 23790376778321 is an apocalyptic number.

3790376778321 is the 1946889-th square number.

3790376778321 is the 973445-th centered octagonal number.

It is an amenable number.

3790376778321 is a deficient number, since it is larger than the sum of its proper divisors (2821061599482).

3790376778321 is an frugal number, since it uses more digits than its factorization.

3790376778321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20634 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 3790376778321 in words is "three trillion, seven hundred ninety billion, three hundred seventy-six million, seven hundred seventy-eight thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 5103 10301 11907 30903 35721 72107 92709 216321 278127 504749 648963 834381 1514247 1946889 2503143 4542741 5840667 7509429 13628223 17522001 40884669 52566003 106110601 122654007 318331803 367962021 742774207 954995409 2228322621 2864986227 5199419449 6684967863 8594958681 15598258347 20054903589 25784876043 46794775041 60164710767 77354628129 140384325123 180494132301 421152975369 541482396903 1263458926107 3790376778321