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21768193536 = 29373832339
BaseRepresentation
bin10100010001011111…
…000100011000000000
32002012001200210210020
4110101133010120000
5324040124143121
614000011533440
71400302410045
oct242137043000
962161623706
1021768193536
119260639aa1
12427615a280
13208bb0c6bb
1410a707d1cc
158760e01c6
hex5117c4600

21768193536 has 160 divisors (see below), whose sum is σ = 59519940480. Its totient is φ = 7067418624.

The previous prime is 21768193501. The next prime is 21768193567. The reversal of 21768193536 is 63539186712.

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, 9305455 + ... + 9307793.

It is an arithmetic number, because the mean of its divisors is an integer number (371999628).

Almost surely, 221768193536 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 21768193536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29759970240).

21768193536 is an abundant number, since it is smaller than the sum of its proper divisors (37751746944).

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

21768193536 is an equidigital number, since it uses as much as digits as its factorization.

21768193536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2500 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The spelling of 21768193536 in words is "twenty-one billion, seven hundred sixty-eight million, one hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 83 96 128 146 166 192 219 249 256 292 332 384 438 498 512 584 664 768 876 996 1168 1328 1536 1752 1992 2336 2339 2656 3504 3984 4672 4678 5312 6059 7008 7017 7968 9344 9356 10624 12118 14016 14034 15936 18177 18688 18712 21248 24236 28032 28068 31872 36354 37376 37424 42496 48472 56064 56136 63744 72708 74848 96944 112128 112272 127488 145416 149696 170747 193888 194137 224544 290832 299392 341494 387776 388274 449088 512241 581664 582411 598784 682988 775552 776548 898176 1024482 1163328 1164822 1197568 1365976 1551104 1553096 1796352 2048964 2326656 2329644 2731952 3102208 3106192 3592704 4097928 4653312 4659288 5463904 6212384 8195856 9306624 9318576 10927808 12424768 14172001 16391712 18637152 21855616 24849536 28344002 32783424 37274304 42516003 43711232 49699072 56688004 65566848 74548608 85032006 87422464 99398144 113376008 131133696 149097216 170064012 226752016 262267392 298194432 340128024 453504032 680256048 907008064 1360512096 1814016128 2721024192 3628032256 5442048384 7256064512 10884096768 21768193536