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21239770350144 = 263112997983883
BaseRepresentation
bin1001101010001010001001…
…11101111000001001000000
32210012111120010002201202110
410311011010331320021000
510240443022202201034
6113101225451215320
74321344211101423
oct465050475701100
983174503081673
1021239770350144
1168498107088a5
1224704b0147540
13bb0b951b51b8
145360206539ba
1526c7662e3de9
hex135144f78240

21239770350144 has 56 divisors (see below), whose sum is σ = 56246668771360. Its totient is φ = 7073652409344.

The previous prime is 21239770350077. The next prime is 21239770350167. The reversal of 21239770350144 is 44105307793212.

It is a super-2 number, since 2×212397703501442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 21239770350093 and 21239770350102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48775174 + ... + 49208709.

Almost surely, 221239770350144 is an apocalyptic number.

21239770350144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21239770350144 is an abundant number, since it is smaller than the sum of its proper divisors (35006898421216).

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

21239770350144 is a wasteful number, since it uses less digits than its factorization.

21239770350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97985027 (or 97985017 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 21239770350144 in words is "twenty-one trillion, two hundred thirty-nine billion, seven hundred seventy million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1129 2258 3387 4516 6774 9032 13548 18064 27096 36128 54192 72256 108384 216768 97983883 195967766 293951649 391935532 587903298 783871064 1175806596 1567742128 2351613192 3135484256 4703226384 6270968512 9406452768 18812905536 110623803907 221247607814 331871411721 442495215628 663742823442 884990431256 1327485646884 1769980862512 2654971293768 3539961725024 5309942587536 7079923450048 10619885175072 21239770350144