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21434712192 = 273261930059
BaseRepresentation
bin10011111101100110…
…111100000010000000
32001022211012012101100
4103331212330002000
5322344241242232
613502540134400
71356113022165
oct237546740200
961284165340
1021434712192
1190aa377583
1241a2537400
1320379bb16a
141074a7206c
15856bbac7c
hex4fd9bc080

21434712192 has 96 divisors (see below), whose sum is σ = 61782318000. Its totient is φ = 7133124096.

The previous prime is 21434712149. The next prime is 21434712227. The reversal of 21434712192 is 29121743412.

21434712192 is a `hidden beast` number, since 2 + 1 + 434 + 7 + 1 + 219 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 698059 + ... + 728117.

Almost surely, 221434712192 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 21434712192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30891159000).

21434712192 is an abundant number, since it is smaller than the sum of its proper divisors (40347605808).

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

21434712192 is a wasteful number, since it uses less digits than its factorization.

21434712192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30698 (or 30683 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 21434712192 in words is "twenty-one billion, four hundred thirty-four million, seven hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 619 1152 1238 1857 2476 3714 4952 5571 7428 9904 11142 14856 19808 22284 29712 30059 39616 44568 59424 60118 79232 89136 90177 118848 120236 178272 180354 237696 240472 270531 356544 360708 480944 541062 713088 721416 961888 1082124 1442832 1923776 2164248 2885664 3847552 4328496 5771328 8656992 11542656 17313984 18606521 34627968 37213042 55819563 74426084 111639126 148852168 167458689 223278252 297704336 334917378 446556504 595408672 669834756 893113008 1190817344 1339669512 1786226016 2381634688 2679339024 3572452032 5358678048 7144904064 10717356096 21434712192