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920016561104 = 242331131615623
BaseRepresentation
bin11010110001101010100…
…00101010001111010000
310020221201112110202001022
431120311100222033100
5110033143214423404
61542352203455012
7123316603511354
oct15306520521720
93227645422038
10920016561104
113251a4400483
1212a37b827468
13689ac711ac4
143275997d464
1518de99698be
hexd63542a3d0

920016561104 has 80 divisors (see below), whose sum is σ = 1934694457344. Its totient is φ = 422562940800.

The previous prime is 920016561049. The next prime is 920016561221. The reversal of 920016561104 is 401165610029.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186637 + ... + 1802259.

Almost surely, 2920016561104 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 920016561104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967347228672).

920016561104 is an abundant number, since it is smaller than the sum of its proper divisors (1014677896240).

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

920016561104 is a wasteful number, since it uses less digits than its factorization.

920016561104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615816 (or 615810 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 920016561104 in words is "nine hundred twenty billion, sixteen million, five hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 131 184 248 262 368 496 524 713 1048 1426 2096 2852 3013 4061 5704 6026 8122 11408 12052 16244 24104 32488 48208 64976 93403 186806 373612 615623 747224 1231246 1494448 2462492 4924984 9849968 14159329 19084313 28318658 38168626 56637316 76337252 80646613 113274632 152674504 161293226 226549264 305349008 322586452 438939199 645172904 877878398 1290345808 1755756796 1854872099 2500045003 3511513592 3709744198 5000090006 7023027184 7419488396 10000180012 14838976792 20000360024 29677953584 40000720048 57501035069 115002070138 230004140276 460008280552 920016561104