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67922672472 = 2334137376343
BaseRepresentation
bin111111010000100000…
…011011101101011000
320111022122111021020000
4333100200123231120
52103101201004342
651111522333000
74623121122114
oct772040335530
9214278437200
1067922672472
112689563a166
12111b71ba160
136535c67475
143404b8c744
151b7807644c
hexfd081bb58

67922672472 has 80 divisors (see below), whose sum is σ = 190387430640. Its totient is φ = 22624104384.

The previous prime is 67922672471. The next prime is 67922672501. The reversal of 67922672472 is 27427622976.

67922672472 is a `hidden beast` number, since 67 + 92 + 26 + 7 + 2 + 472 = 666.

67922672472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×679226724722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67922672471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 851533 + ... + 927875.

It is an arithmetic number, because the mean of its divisors is an integer number (2379842883).

Almost surely, 267922672472 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 67922672472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95193715320).

67922672472 is an abundant number, since it is smaller than the sum of its proper divisors (122464758168).

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

67922672472 is a wasteful number, since it uses less digits than its factorization.

67922672472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77734 (or 77721 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 67922672472 in words is "sixty-seven billion, nine hundred twenty-two million, six hundred seventy-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1373 2746 4119 5492 8238 10984 12357 16476 24714 32952 37071 49428 74142 76343 98856 111213 148284 152686 222426 229029 296568 305372 444852 458058 610744 687087 889704 916116 1374174 1832232 2061261 2748348 4122522 5496696 6183783 8245044 12367566 16490088 24735132 49470264 104818939 209637878 314456817 419275756 628913634 838551512 943370451 1257827268 1886740902 2515654536 2830111353 3773481804 5660222706 7546963608 8490334059 11320445412 16980668118 22640890824 33961336236 67922672472