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20826740767488 = 283139823237053
BaseRepresentation
bin1001011110001000110100…
…11111000011101100000000
32201202000110101001222112020
410233010122133003230000
510212211131114024423
6112143401142001440
74246453023423105
oct457043237035400
981660411058466
1020826740767488
1166aa631236177
122404441416280
13b80c51318146
1452003bc24aac
15261b40aa34e3
hex12f11a7c3b00

20826740767488 has 144 divisors (see below), whose sum is σ = 55896347055360. Its totient is φ = 6883899052032.

The previous prime is 20826740767487. The next prime is 20826740767493. The reversal of 20826740767488 is 88476704762802.

It is a super-2 number, since 2×208267407674882 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20826740767487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87738370 + ... + 87975422.

Almost surely, 220826740767488 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 20826740767488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27948173527680).

20826740767488 is an abundant number, since it is smaller than the sum of its proper divisors (35069606287872).

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

20826740767488 is a wasteful number, since it uses less digits than its factorization.

20826740767488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238034 (or 238020 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 69.

The spelling of 20826740767488 in words is "twenty trillion, eight hundred twenty-six billion, seven hundred forty million, seven hundred sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 768 823 834 1112 1646 1668 2224 2469 3292 3336 4448 4938 6584 6672 8896 9876 13168 13344 17792 19752 26336 26688 35584 39504 52672 53376 79008 105344 106752 114397 158016 210688 228794 237053 316032 343191 457588 474106 632064 686382 711159 915176 948212 1372764 1422318 1830352 1896424 2745528 2844636 3660704 3792848 5491056 5689272 7321408 7585696 10982112 11378544 14642816 15171392 21964224 22757088 29285632 30342784 32950367 43928448 45514176 60685568 65900734 87856896 91028352 98851101 131801468 182056704 195094619 197702202 263602936 390189238 395404404 527205872 585283857 780378476 790808808 1054411744 1170567714 1560756952 1581617616 2108823488 2341135428 3121513904 3163235232 4217646976 4682270856 6243027808 6326470464 8435293952 9364541712 12486055616 12652940928 18729083424 24972111232 25305881856 27118152041 37458166848 49944222464 54236304082 74916333696 81354456123 108472608164 149832667392 162708912246 216945216328 325417824492 433890432656 650835648984 867780865312 1301671297968 1735561730624 2603342595936 3471123461248 5206685191872 6942246922496 10413370383744 20826740767488