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661995264 = 2837196481
BaseRepresentation
bin100111011101010…
…011111100000000
31201010122211210010
4213131103330000
52323432322024
6145404504520
722255603230
oct4735237400
91633584703
10661995264
1130a751927
1216584b140
13a71c3a98
1463cc3cc0
153d1b6b29
hex27753f00

661995264 has 144 divisors (see below), whose sum is σ = 2119873280. Its totient is φ = 179159040.

The previous prime is 661995239. The next prime is 661995311. The reversal of 661995264 is 462599166.

661995264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6619952643 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 98904 + ... + 105384.

Almost surely, 2661995264 is an apocalyptic number.

661995264 is a gapful number since it is divisible by the number (64) 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 661995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059936640).

661995264 is an abundant number, since it is smaller than the sum of its proper divisors (1457878016).

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

661995264 is a wasteful number, since it uses less digits than its factorization.

661995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6512 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 661995264 is about 25729.2686254390. The cubic root of 661995264 is about 871.5352572215.

The spelling of 661995264 in words is "six hundred sixty-one million, nine hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 6481 7296 8512 12768 12962 14592 17024 19443 25536 25924 34048 38886 45367 51072 51848 77772 90734 102144 103696 123139 136101 155544 181468 207392 246278 272202 311088 362936 369417 414784 492556 544404 622176 725872 738834 829568 861973 985112 1088808 1244352 1451744 1477668 1659136 1723946 1970224 2177616 2488704 2585919 2903488 2955336 3447892 3940448 4355232 4977408 5171838 5806976 5910672 6895784 7880896 8710464 10343676 11613952 11821344 13791568 15761792 17420928 20687352 23642688 27583136 31523584 34841856 41374704 47285376 55166272 82749408 94570752 110332544 165498816 220665088 330997632 661995264