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2656223689140 = 2232577572784827
BaseRepresentation
bin100110101001110011010…
…001001111100110110100
3100101221011210111020120100
4212221303101033212310
5322004421231023030
65352130300034100
7362622461554110
oct46516321174664
910357153436510
102656223689140
1193455303017a
1236a963b32930
13163633489c98
14927c1c60740
1549163cb1360
hex26a7344f9b4

2656223689140 has 144 divisors (see below), whose sum is σ = 9220409557632. Its totient is φ = 606334595328.

The previous prime is 2656223689103. The next prime is 2656223689157. The reversal of 2656223689140 is 419863226562.

2656223689140 is a `hidden beast` number, since 2 + 6 + 5 + 622 + 3 + 6 + 8 + 9 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×26562236891402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438594 + ... + 2346233.

It is an arithmetic number, because the mean of its divisors is an integer number (64030621928).

Almost surely, 22656223689140 is an apocalyptic number.

2656223689140 is a gapful number since it is divisible by the number (20) 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 2656223689140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610204778816).

2656223689140 is an abundant number, since it is smaller than the sum of its proper divisors (6564185868492).

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

2656223689140 is a wasteful number, since it uses less digits than its factorization.

2656223689140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785606 (or 2785601 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2656223689140 in words is "two trillion, six hundred fifty-six billion, two hundred twenty-three million, six hundred eighty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 757 1260 1514 2271 3028 3785 4542 5299 6813 7570 9084 10598 11355 13626 15140 15897 21196 22710 26495 27252 31794 34065 45420 47691 52990 63588 68130 79485 95382 105980 136260 158970 190764 238455 317940 476910 953820 2784827 5569654 8354481 11139308 13924135 16708962 19493789 25063443 27848270 33417924 38987578 41772405 50126886 55696540 58481367 77975156 83544810 97468945 100253772 116962734 125317215 167089620 175444101 194937890 233925468 250634430 292406835 350888202 389875780 501268860 584813670 701776404 877220505 1169627340 1754441010 2108114039 3508882020 4216228078 6324342117 8432456156 10540570195 12648684234 14756798273 18973026351 21081140390 25297368468 29513596546 31621710585 37946052702 42162280780 44270394819 59027193092 63243421170 73783991365 75892105404 88540789638 94865131755 126486842340 132811184457 147567982730 177081579276 189730263510 221351974095 265622368914 295135965460 379460527020 442703948190 531244737828 664055922285 885407896380 1328111844570 2656223689140