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7042921056 = 253328129009
BaseRepresentation
bin1101000111100101…
…00111001001100000
3200011211111110102000
412203302213021200
5103410441433211
63122510124000
7336346561353
oct64362471140
920154443360
107042921056
112a945aa916
1214467b0600
13883183212
144ab53029a
152b3496656
hex1a3ca7260

7042921056 has 96 divisors (see below), whose sum is σ = 20615666400. Its totient is φ = 2339205120.

The previous prime is 7042921051. The next prime is 7042921069. The reversal of 7042921056 is 6501292407.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7042921056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7042921051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228280 + ... + 257288.

It is an arithmetic number, because the mean of its divisors is an integer number (214746525).

Almost surely, 27042921056 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 7042921056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307833200).

7042921056 is an abundant number, since it is smaller than the sum of its proper divisors (13572745344).

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

7042921056 is a wasteful number, since it uses less digits than its factorization.

7042921056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29309 (or 29295 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7042921056 is about 83922.1130334550. The cubic root of 7042921056 is about 1916.8329820375.

The spelling of 7042921056 in words is "seven billion, forty-two million, nine hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 281 288 432 562 843 864 1124 1686 2248 2529 3372 4496 5058 6744 7587 8992 10116 13488 15174 20232 26976 29009 30348 40464 58018 60696 80928 87027 116036 121392 174054 232072 242784 261081 348108 464144 522162 696216 783243 928288 1044324 1392432 1566486 2088648 2784864 3132972 4177296 6265944 8151529 8354592 12531888 16303058 24454587 25063776 32606116 48909174 65212232 73363761 97818348 130424464 146727522 195636696 220091283 260848928 293455044 391273392 440182566 586910088 782546784 880365132 1173820176 1760730264 2347640352 3521460528 7042921056