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2693640432 = 243773109819
BaseRepresentation
bin1010000010001101…
…1011000011110000
320221201120010000110
42200203123003300
521004032443212
61123142021320
7123515365050
oct24043330360
96851503013
102693640432
111162542a1a
12632117840
1333c09aba2
141b7a59560
1510b72aa3c
hexa08db0f0

2693640432 has 80 divisors (see below), whose sum is σ = 8061666560. Its totient is φ = 759062016.

The previous prime is 2693640421. The next prime is 2693640449. The reversal of 2693640432 is 2340463962.

It is a congruent number.

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, 30382 + ... + 79437.

It is an arithmetic number, because the mean of its divisors is an integer number (100770832).

Almost surely, 22693640432 is an apocalyptic number.

It is an amenable number.

2693640432 is an abundant number, since it is smaller than the sum of its proper divisors (5368026128).

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

2693640432 is a wasteful number, since it uses less digits than its factorization.

2693640432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109910 (or 109904 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 2693640432 is about 51900.2931783627. The cubic root of 2693640432 is about 1391.3825128207.

The spelling of 2693640432 in words is "two billion, six hundred ninety-three million, six hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 6132 8176 12264 24528 109819 219638 329457 439276 658914 768733 878552 1317828 1537466 1757104 2306199 2635656 3074932 4612398 5271312 6149864 8016787 9224796 12299728 16033574 18449592 24050361 32067148 36899184 48100722 56117509 64134296 96201444 112235018 128268592 168352527 192402888 224470036 336705054 384805776 448940072 673410108 897880144 1346820216 2693640432