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921719340672 = 2731343299859
BaseRepresentation
bin11010110100110101100…
…00001111111010000000
310021010010012112220111020
431122122300033322000
5110100140122400142
61543233152145440
7123410031061314
oct15323260177200
93233105486436
10921719340672
113259985a1a19
1212a775b38280
1368bc1422590
143287bb89b44
1518e991bbcec
hexd69ac0fe80

921719340672 has 192 divisors, whose sum is σ = 2699419514400. Its totient is φ = 277007689728.

The previous prime is 921719340653. The next prime is 921719340797. The reversal of 921719340672 is 276043917129.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×9217193406723 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9180279 + ... + 9280137.

Almost surely, 2921719340672 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 921719340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349709757200).

921719340672 is an abundant number, since it is smaller than the sum of its proper divisors (1777700173728).

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

921719340672 is a wasteful number, since it uses less digits than its factorization.

921719340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99975 (or 99920 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 921719340672 in words is "nine hundred twenty-one billion, seven hundred nineteen million, three hundred forty thousand, six hundred seventy-two".