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264406450403616 = 25317322371392049
BaseRepresentation
bin111100000111100111101100…
…100011010111100100100000
31021200012000021010212002202020
4330013213230203113210200
5234124013402300403431
62334202351344421440
7106456510220016003
oct7407475443274440
91250160233762666
10264406450403616
11772801672110a4
12257a38a9317880
13b46c56274b4b1
1449414aa3d353a
152087c4294b696
hexf079ec8d7920

264406450403616 has 96 divisors (see below), whose sum is σ = 701209288281600. Its totient is φ = 87233086746624.

The previous prime is 264406450403597. The next prime is 264406450403717. The reversal of 264406450403616 is 616304054604462.

264406450403616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31992441 + ... + 39399608.

It is an arithmetic number, because the mean of its divisors is an integer number (7304263419600).

Almost surely, 2264406450403616 is an apocalyptic number.

It is an amenable number.

264406450403616 is an abundant number, since it is smaller than the sum of its proper divisors (436802837877984).

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

264406450403616 is a wasteful number, since it uses less digits than its factorization.

264406450403616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71392458 (or 71392450 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 51.

The spelling of 264406450403616 in words is "two hundred sixty-four trillion, four hundred six billion, four hundred fifty million, four hundred three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 223 346 446 519 669 692 892 1038 1338 1384 1784 2076 2676 2768 3568 4152 5352 5536 7136 8304 10704 16608 21408 38579 77158 115737 154316 231474 308632 462948 617264 925896 1234528 1851792 3703584 71392049 142784098 214176147 285568196 428352294 571136392 856704588 1142272784 1713409176 2284545568 3426818352 6853636704 12350824477 15920426927 24701648954 31840853854 37052473431 47761280781 49403297908 63681707708 74104946862 95522561562 98806595816 127363415416 148209893724 191045123124 197613191632 254726830832 296419787448 382090246248 395226383264 509453661664 592839574896 764180492496 1185679149792 1528360984992 2754233858371 5508467716742 8262701575113 11016935433484 16525403150226 22033870866968 33050806300452 44067741733936 66101612600904 88135483467872 132203225201808 264406450403616