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7338690672 = 2431031937691
BaseRepresentation
bin1101101010110101…
…11000100001110000
3200221110001010001020
412311122320201300
5110012201100142
63212113335440
7346600561425
oct66532704160
920843033036
107338690672
113126554a15
121509867580
138cc52c621
144d8921d4c
152ce41bcec
hex1b56b8870

7338690672 has 80 divisors (see below), whose sum is σ = 19244030208. Its totient is φ = 2409615360.

The previous prime is 7338690659. The next prime is 7338690673. The reversal of 7338690672 is 2760968337.

It is a super-3 number, since 3×73386906723 (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7338690673) 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, 950347 + ... + 958037.

Almost surely, 27338690672 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 7338690672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9622015104).

7338690672 is an abundant number, since it is smaller than the sum of its proper divisors (11905339536).

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

7338690672 is a wasteful number, since it uses less digits than its factorization.

7338690672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The square root of 7338690672 is about 85666.1582656769. The cubic root of 7338690672 is about 1943.2985538534.

The spelling of 7338690672 in words is "seven billion, three hundred thirty-eight million, six hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 193 206 309 386 412 579 618 772 824 1158 1236 1544 1648 2316 2472 3088 4632 4944 7691 9264 15382 19879 23073 30764 39758 46146 59637 61528 79516 92292 119274 123056 159032 184584 238548 318064 369168 477096 792173 954192 1484363 1584346 2376519 2968726 3168692 4453089 4753038 5937452 6337384 8906178 9506076 11874904 12674768 17812356 19012152 23749808 35624712 38024304 71249424 152889389 305778778 458668167 611557556 917336334 1223115112 1834672668 2446230224 3669345336 7338690672