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1913666328 = 233276756671
BaseRepresentation
bin111001000010000…
…0011101100011000
311221100220022200200
41302010003230120
512404344310303
6513520302200
765264616060
oct16204035430
94840808620
101913666328
118a223a922
12454a71960
1324660a152
141422243a0
15b300c3a3
hex72103b18

1913666328 has 96 divisors (see below), whose sum is σ = 6011765760. Its totient is φ = 538591680.

The previous prime is 1913666323. The next prime is 1913666329. The reversal of 1913666328 is 8236663191.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913666323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5433 + ... + 62103.

It is an arithmetic number, because the mean of its divisors is an integer number (62622560).

Almost surely, 21913666328 is an apocalyptic number.

1913666328 is a gapful number since it is divisible by the number (18) 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 1913666328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005882880).

1913666328 is an abundant number, since it is smaller than the sum of its proper divisors (4098099432).

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

1913666328 is a wasteful number, since it uses less digits than its factorization.

1913666328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56757 (or 56750 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1913666328 is about 43745.4720856913. The cubic root of 1913666328 is about 1241.5248168591.

The spelling of 1913666328 in words is "one billion, nine hundred thirteen million, six hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1608 1876 2412 2814 3752 4221 4824 5628 8442 11256 16884 33768 56671 113342 170013 226684 340026 396697 453368 510039 680052 793394 1020078 1190091 1360104 1586788 2040156 2380182 3173576 3570273 3796957 4080312 4760364 7140546 7593914 9520728 11390871 14281092 15187828 22781742 26578699 28562184 30375656 34172613 45563484 53157398 68345226 79736097 91126968 106314796 136690452 159472194 212629592 239208291 273380904 318944388 478416582 637888776 956833164 1913666328