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20218787264 = 261331799923
BaseRepresentation
bin10010110101001000…
…100011010111000000
31221012002012210221202
4102311020203113000
5312402002143024
613142142440332
71314016566434
oct226510432700
957162183852
1020218787264
118635a84145
123b032930a8
131ba2b0c360
14d9b3989c4
157d5086bae
hex4b52235c0

20218787264 has 112 divisors (see below), whose sum is σ = 45170872320. Its totient is φ = 8915512320.

The previous prime is 20218787219. The next prime is 20218787299. The reversal of 20218787264 is 46278781202.

It is a happy number.

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, 2032607 + ... + 2042529.

It is an arithmetic number, because the mean of its divisors is an integer number (403311360).

Almost surely, 220218787264 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 20218787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585436160).

20218787264 is an abundant number, since it is smaller than the sum of its proper divisors (24952085056).

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

20218787264 is a wasteful number, since it uses less digits than its factorization.

20218787264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10058 (or 10048 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The spelling of 20218787264 in words is "twenty billion, two hundred eighteen million, seven hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 79 104 124 158 208 248 316 403 416 496 632 806 832 992 1027 1264 1612 1984 2054 2449 2528 3224 4108 4898 5056 6448 8216 9796 9923 12896 16432 19592 19846 25792 31837 32864 39184 39692 63674 65728 78368 79384 127348 128999 156736 158768 254696 257998 307613 317536 509392 515996 615226 635072 783917 1018784 1031992 1230452 1567834 2037568 2063984 2460904 3135668 3998969 4127968 4921808 6271336 7997938 8255936 9843616 10190921 12542672 15995876 19687232 20381842 24301427 25085344 31991752 40763684 48602854 50170688 63983504 81527368 97205708 127967008 163054736 194411416 255934016 315918551 326109472 388822832 631837102 652218944 777645664 1263674204 1555291328 2527348408 5054696816 10109393632 20218787264