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661273152 = 26331241461
BaseRepresentation
bin100111011010100…
…011101001000000
31201002022011020020
4213122203221000
52323241220102
6145341213440
722246505031
oct4732435100
91632264206
10661273152
1130a2a9341
12165561280
13a70001b7
1463b76a88
153d0c2bbc
hex276a3a40

661273152 has 112 divisors (see below), whose sum is σ = 1817485824. Its totient is φ = 211968000.

The previous prime is 661273147. The next prime is 661273177. The reversal of 661273152 is 251372166.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434202 + ... + 1434662.

It is an arithmetic number, because the mean of its divisors is an integer number (16227552).

Almost surely, 2661273152 is an apocalyptic number.

661273152 is a gapful number since it is divisible by the number (62) 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 661273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908742912).

661273152 is an abundant number, since it is smaller than the sum of its proper divisors (1156212672).

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

661273152 is a wasteful number, since it uses less digits than its factorization.

661273152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 661273152 is about 25715.2319064013. The cubic root of 661273152 is about 871.2182483881.

The spelling of 661273152 in words is "six hundred sixty-one million, two hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 241 248 372 461 482 496 723 744 922 964 992 1383 1446 1488 1844 1928 1984 2766 2892 2976 3688 3856 5532 5784 5952 7376 7471 7712 11064 11568 14291 14752 14942 15424 22128 22413 23136 28582 29504 29884 42873 44256 44826 46272 57164 59768 85746 88512 89652 111101 114328 119536 171492 179304 222202 228656 239072 333303 342984 358608 444404 457312 478144 666606 685968 717216 888808 914624 1333212 1371936 1434432 1777616 2666424 2743872 3444131 3555232 5332848 6888262 7110464 10332393 10665696 13776524 20664786 21331392 27553048 41329572 55106096 82659144 110212192 165318288 220424384 330636576 661273152