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4093601664 = 27361174761
BaseRepresentation
bin1111001111111111…
…0110011110000000
3101120021211111210110
43303333312132000
531340430223124
61514112031320
7203305016505
oct36377663600
911507744713
104093601664
111810805579
12962b32540
13503134b09
142ab95b4ac
1518e5b4029
hexf3ff6780

4093601664 has 64 divisors (see below), whose sum is σ = 11051948880. Its totient is φ = 1342156800.

The previous prime is 4093601653. The next prime is 4093601693. The reversal of 4093601664 is 4661063904.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 63957 + ... + 110804.

Almost surely, 24093601664 is an apocalyptic number.

It is an amenable number.

4093601664 is an abundant number, since it is smaller than the sum of its proper divisors (6958347216).

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

4093601664 is a wasteful number, since it uses less digits than its factorization.

4093601664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174839 (or 174827 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 4093601664 is about 63981.2602564220. The cubic root of 4093601664 is about 1599.6876556963.

The spelling of 4093601664 in words is "four billion, ninety-three million, six hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5856 7808 11712 23424 174761 349522 524283 699044 1048566 1398088 2097132 2796176 4194264 5592352 8388528 10660421 11184704 16777056 21320842 22369408 31981263 33554112 42641684 63962526 67108224 85283368 127925052 170566736 255850104 341133472 511700208 682266944 1023400416 1364533888 2046800832 4093601664