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66903616 = 261397829
BaseRepresentation
bin1111111100110…
…1111001000000
311122220001111201
43333031321000
5114111403431
610345550544
71441446163
oct377157100
9148801451
1066903616
113484674a
121a4a5454
1310b26350
148c57ada
155d18461
hex3fcde40

66903616 has 56 divisors (see below), whose sum is σ = 144622520. Its totient is φ = 30523392.

The previous prime is 66903593. The next prime is 66903647. The reversal of 66903616 is 61630966.

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 64000000 = 1704^2 + 8000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80290 + ... + 81118.

It is an arithmetic number, because the mean of its divisors is an integer number (2582545).

Almost surely, 266903616 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 66903616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72311260).

66903616 is an abundant number, since it is smaller than the sum of its proper divisors (77718904).

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

66903616 is a wasteful number, since it uses less digits than its factorization.

66903616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 66903616 is about 8179.4630630623. The cubic root of 66903616 is about 405.9599562535.

The spelling of 66903616 in words is "sixty-six million, nine hundred three thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 194 208 388 416 776 829 832 1261 1552 1658 2522 3104 3316 5044 6208 6632 10088 10777 13264 20176 21554 26528 40352 43108 53056 80413 80704 86216 160826 172432 321652 344864 643304 689728 1045369 1286608 2090738 2573216 4181476 5146432 8362952 16725904 33451808 66903616