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857065364712 = 233337501121401
BaseRepresentation
bin11000111100011010001…
…00111001110011101000
310000221020100200121221000
430132031010321303220
5103020232213132322
61453421433115000
7115630610253504
oct14361504716350
93027210617830
10857065364712
11300530066937
1211a131558a60
1362a8972a07b
142d6a7189304
15174630b33ac
hexc78d139ce8

857065364712 has 128 divisors (see below), whose sum is σ = 2445683587200. Its totient is φ = 277898688000.

The previous prime is 857065364647. The next prime is 857065364717. The reversal of 857065364712 is 217463560758.

857065364712 is a `hidden beast` number, since 8 + 57 + 0 + 6 + 536 + 47 + 12 = 666.

857065364712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8570653647122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (857065364717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40037212 + ... + 40058612.

It is an arithmetic number, because the mean of its divisors is an integer number (19106903025).

Almost surely, 2857065364712 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 857065364712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222841793600).

857065364712 is an abundant number, since it is smaller than the sum of its proper divisors (1588618222488).

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

857065364712 is a wasteful number, since it uses less digits than its factorization.

857065364712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26464 (or 26454 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 857065364712 in words is "eight hundred fifty-seven billion, sixty-five million, three hundred sixty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 5011 7992 10022 15033 20044 21401 30066 40088 42802 45099 60132 64203 85604 90198 120264 128406 135297 171208 180396 185407 192609 256812 270594 360792 370814 385218 513624 541188 556221 577827 741628 770436 791837 1082376 1112442 1155654 1483256 1540872 1583674 1668663 2224884 2311308 2375511 3167348 3337326 4449768 4622616 4751022 5005989 6334696 6674652 7126533 9502044 10011978 13349304 14253066 19004088 20023956 21379599 28506132 40047912 42759198 57012264 85518396 107240411 171036792 214480822 321721233 428961644 643442466 857923288 965163699 1286884932 1930327398 2573769864 2895491097 3860654796 3967895207 5790982194 7721309592 7935790414 11581964388 11903685621 15871580828 23163928776 23807371242 31743161656 35711056863 47614742484 71422113726 95229484968 107133170589 142844227452 214266341178 285688454904 428532682356 857065364712