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21442201984 = 27780929581
BaseRepresentation
bin10011111110000011…
…100000100110000000
32001100100021201110001
4103332003200212000
5322403200430414
613503404445344
71356233465260
oct237603404600
961310251401
1021442201984
119103622795
1241a4b49854
1320394112a8
141075a617a0
1585769a074
hex4fe0e0980

21442201984 has 64 divisors (see below), whose sum is σ = 48881296800. Its totient is φ = 9177845760.

The previous prime is 21442201943. The next prime is 21442202021. The reversal of 21442201984 is 48910224412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 710074 + ... + 739654.

Almost surely, 221442201984 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 21442201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24440648400).

21442201984 is an abundant number, since it is smaller than the sum of its proper divisors (27439094816).

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

21442201984 is an equidigital number, since it uses as much as digits as its factorization.

21442201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30411 (or 30399 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 21442201984 in words is "twenty-one billion, four hundred forty-two million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 809 896 1618 3236 5663 6472 11326 12944 22652 25888 29581 45304 51776 59162 90608 103552 118324 181216 207067 236648 362432 414134 473296 724864 828268 946592 1656536 1893184 3313072 3786368 6626144 13252288 23931029 26504576 47862058 95724116 167517203 191448232 335034406 382896464 670068812 765792928 1340137624 1531585856 2680275248 3063171712 5360550496 10721100992 21442201984