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661138496 = 26233761199
BaseRepresentation
bin100111011010000…
…010110001000000
31201002001022111222
4213122002301000
52323222412441
6145334254212
722245404324
oct4732026100
91632038458
10661138496
1130a217157
121654b7368
13a6c83b15
1463b3d984
153d097d4b
hex27682c40

661138496 has 112 divisors (see below), whose sum is σ = 1436217600. Its totient is φ = 301086720.

The previous prime is 661138487. The next prime is 661138523. The reversal of 661138496 is 694831166.

It is a happy number.

It is a super-2 number, since 2×6611384962 = 874208221786284032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3322205 + ... + 3322403.

Almost surely, 2661138496 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 661138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718108800).

661138496 is an abundant number, since it is smaller than the sum of its proper divisors (775079104).

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

661138496 is a wasteful number, since it uses less digits than its factorization.

661138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 661138496 is about 25712.6135583297. The cubic root of 661138496 is about 871.1591085667.

The spelling of 661138496 in words is "six hundred sixty-one million, one hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 37 46 61 64 74 92 122 148 184 199 244 296 368 398 488 592 736 796 851 976 1184 1403 1472 1592 1702 1952 2257 2368 2806 3184 3404 3904 4514 4577 5612 6368 6808 7363 9028 9154 11224 12139 12736 13616 14726 18056 18308 22448 24278 27232 29452 36112 36616 44896 48556 51911 54464 58904 72224 73232 89792 97112 103822 117808 144448 146464 169349 194224 207644 235616 279197 292928 338698 388448 415288 449143 471232 558394 677396 776896 830576 898286 1116788 1354792 1661152 1796572 2233576 2709584 3322304 3593144 4467152 5419168 7186288 8934304 10330289 10838336 14372576 17868608 20660578 28745152 41321156 82642312 165284624 330569248 661138496