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21883791468 = 22371126718867
BaseRepresentation
bin10100011000011000…
…000010100001101100
32002111010012210100010
4110120120002201230
5324304222311333
614015301333220
71403205105210
oct243030024154
962433183303
1021883791468
11930a914480
1242a8a07210
1320a9a54a46
1410b8570940
15881326563
hex51860286c

21883791468 has 96 divisors (see below), whose sum is σ = 63692955648. Its totient is φ = 5681332800.

The previous prime is 21883791463. The next prime is 21883791473. The reversal of 21883791468 is 86419738812.

It is an interprime number because it is at equal distance from previous prime (21883791463) and next prime (21883791473).

It is not an unprimeable number, because it can be changed into a prime (21883791463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2463571 + ... + 2472437.

It is an arithmetic number, because the mean of its divisors is an integer number (663468288).

Almost surely, 221883791468 is an apocalyptic number.

21883791468 is a gapful number since it is divisible by the number (28) 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 21883791468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31846477824).

21883791468 is an abundant number, since it is smaller than the sum of its proper divisors (41809164180).

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

21883791468 is a wasteful number, since it uses less digits than its factorization.

21883791468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11563 (or 11561 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The spelling of 21883791468 in words is "twenty-one billion, eight hundred eighty-three million, seven hundred ninety-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2671 5342 8013 8867 10684 16026 17734 18697 26601 29381 32052 35468 37394 53202 56091 58762 62069 74788 88143 97537 106404 112182 117524 124138 176286 186207 195074 205667 224364 248276 292611 352572 372414 390148 411334 585222 617001 682759 744828 822668 1170444 1234002 1365518 2048277 2468004 2731036 4096554 8193108 23683757 47367514 71051271 94735028 142102542 165786299 260521327 284205084 331572598 497358897 521042654 663145196 781563981 994717794 1042085308 1563127962 1823649289 1989435588 3126255924 3647298578 5470947867 7294597156 10941895734 21883791468