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920313940432 = 242319912567101
BaseRepresentation
bin11010110010001101111…
…11000100100111010000
310020222111021001011210111
431121012333010213100
5110034300332043212
61542441505411104
7123330144264445
oct15310677044720
93228437034714
10920313940432
11325337254a17
1212a443339a94
1368a29202ac3
143278726d9cc
1518e15b0bea7
hexd646fc49d0

920313940432 has 40 divisors (see below), whose sum is σ = 1869984777600. Its totient is φ = 437938300800.

The previous prime is 920313940391. The next prime is 920313940451. The reversal of 920313940432 is 234049313029.

It is a happy number.

920313940432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6210319 + ... + 6356782.

It is an arithmetic number, because the mean of its divisors is an integer number (46749619440).

Almost surely, 2920313940432 is an apocalyptic number.

920313940432 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

920313940432 is an abundant number, since it is smaller than the sum of its proper divisors (949670837168).

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

920313940432 is a wasteful number, since it uses less digits than its factorization.

920313940432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12567331 (or 12567325 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 920313940432 in words is "nine hundred twenty billion, three hundred thirteen million, nine hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 199 368 398 796 1592 3184 4577 9154 18308 36616 73232 12567101 25134202 50268404 100536808 201073616 289043323 578086646 1156173292 2312346584 2500853099 4624693168 5001706198 10003412396 20006824792 40013649584 57519621277 115039242554 230078485108 460156970216 920313940432