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6972056384 = 261942113619
BaseRepresentation
bin1100111111001000…
…10010001101000000
3122222220011011100112
412133210102031000
5103234321301014
63111455210452
7334526333666
oct63744221500
918886134315
106972056384
112a585a9177
121426b16a28
138715a0c67
144a1d64c36
152ac14973e
hex19f912340

6972056384 has 56 divisors (see below), whose sum is σ = 14599005600. Its totient is φ = 3294466560.

The previous prime is 6972056347. The next prime is 6972056387. The reversal of 6972056384 is 4836502796.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972056387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505127 + ... + 518745.

Almost surely, 26972056384 is an apocalyptic number.

6972056384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6972056384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299502800).

6972056384 is an abundant number, since it is smaller than the sum of its proper divisors (7626949216).

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

6972056384 is a wasteful number, since it uses less digits than its factorization.

6972056384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14071 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The square root of 6972056384 is about 83498.8406147055. The cubic root of 6972056384 is about 1910.3823493754.

The spelling of 6972056384 in words is "six billion, nine hundred seventy-two million, fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 421 608 842 1216 1684 3368 6736 7999 13472 13619 15998 26944 27238 31996 54476 63992 108952 127984 217904 255968 258761 435808 511936 517522 871616 1035044 2070088 4140176 5733599 8280352 11467198 16560704 22934396 45868792 91737584 108938381 183475168 217876762 366950336 435753524 871507048 1743014096 3486028192 6972056384