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6672308448 = 2531331117191
BaseRepresentation
bin1100011011011001…
…10101100011100000
3122020000010101111010
412031230311203200
5102131102332243
63022030420520
7324226454211
oct61554654340
918200111433
106672308448
112914387103
121362661740
13824460b10
14474219408
15290b8a433
hex18db358e0

6672308448 has 96 divisors (see below), whose sum is σ = 18923853312. Its totient is φ = 2046297600.

The previous prime is 6672308443. The next prime is 6672308453. The reversal of 6672308448 is 8448032766.

It is an interprime number because it is at equal distance from previous prime (6672308443) and next prime (6672308453).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6672308397 and 6672308406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6672308443) 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, 379533 + ... + 396723.

It is an arithmetic number, because the mean of its divisors is an integer number (197123472).

Almost surely, 26672308448 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 6672308448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9461926656).

6672308448 is an abundant number, since it is smaller than the sum of its proper divisors (12251544864).

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

6672308448 is a wasteful number, since it uses less digits than its factorization.

6672308448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17528 (or 17520 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 6672308448 is about 81684.1995002706. The cubic root of 6672308448 is about 1882.6028200181.

The spelling of 6672308448 in words is "six billion, six hundred seventy-two million, three hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 311 312 416 622 624 933 1244 1248 1866 2488 3732 4043 4976 7464 8086 9952 12129 14928 16172 17191 24258 29856 32344 34382 48516 51573 64688 68764 97032 103146 129376 137528 194064 206292 223483 275056 388128 412584 446966 550112 670449 825168 893932 1340898 1650336 1787864 2681796 3575728 5346401 5363592 7151456 10692802 10727184 16039203 21385604 21454368 32078406 42771208 64156812 69503213 85542416 128313624 139006426 171084832 208509639 256627248 278012852 417019278 513254496 556025704 834038556 1112051408 1668077112 2224102816 3336154224 6672308448