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20721771264 = 283373671987
BaseRepresentation
bin10011010011000111…
…010010001100000000
31222111010200001021210
4103103013102030000
5314414233140024
613304111250120
71332335102205
oct232307221400
958433601253
1020721771264
1188739994a7
124023819940
131c5309a71c
1410080c9cac
158142de129
hex4d31d2300

20721771264 has 144 divisors (see below), whose sum is σ = 56823592448. Its totient is φ = 6698889216.

The previous prime is 20721771263. The next prime is 20721771277. The reversal of 20721771264 is 46217712702.

It is not an unprimeable number, because it can be changed into a prime (20721771263) by changing a digit.

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, 10427679 + ... + 10429665.

Almost surely, 220721771264 is an apocalyptic number.

20721771264 is a gapful number since it is divisible by the number (24) 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 20721771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28411796224).

20721771264 is an abundant number, since it is smaller than the sum of its proper divisors (36101821184).

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

20721771264 is a wasteful number, since it uses less digits than its factorization.

20721771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 20721771264 in words is "twenty billion, seven hundred twenty-one million, seven hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 367 384 444 592 734 768 888 1101 1184 1468 1776 1987 2202 2368 2936 3552 3974 4404 4736 5872 5961 7104 7948 8808 9472 11744 11922 13579 14208 15896 17616 23488 23844 27158 28416 31792 35232 40737 46976 47688 54316 63584 70464 73519 81474 93952 95376 108632 127168 140928 147038 162948 190752 217264 220557 254336 281856 294076 325896 381504 434528 441114 508672 588152 651792 729229 763008 869056 882228 1176304 1303584 1458458 1526016 1738112 1764456 2187687 2352608 2607168 2916916 3476224 3528912 4375374 4705216 5214336 5833832 7057824 8750748 9410432 10428672 11667664 14115648 17501496 18820864 23335328 26981473 28231296 35002992 46670656 53962946 56462592 70005984 80944419 93341312 107925892 140011968 161888838 186682624 215851784 280023936 323777676 431703568 560047872 647555352 863407136 1295110704 1726814272 2590221408 3453628544 5180442816 6907257088 10360885632 20721771264