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385120097397 = 33737100954581
BaseRepresentation
bin1011001101010101111…
…00100101010001110101
31100211001200101222222000
411212222330211101311
522302211221104042
6452531032125513
736552430546530
oct5465274452165
91324050358860
10385120097397
11139368289332
126277bb36899
132a416951649
14148d5cc1a17
15a04040874c
hex59aaf25475

385120097397 has 64 divisors (see below), whose sum is σ = 670354291200. Its totient is φ = 213904696320.

The previous prime is 385120097393. The next prime is 385120097399. The reversal of 385120097397 is 793790021583.

385120097397 is a `hidden beast` number, since 3 + 8 + 512 + 0 + 0 + 97 + 39 + 7 = 666.

It is not a de Polignac number, because 385120097397 - 22 = 385120097393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385120097393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7028647 + ... + 7083227.

It is an arithmetic number, because the mean of its divisors is an integer number (10474285800).

Almost surely, 2385120097397 is an apocalyptic number.

385120097397 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

385120097397 is a deficient number, since it is larger than the sum of its proper divisors (285234193803).

385120097397 is a wasteful number, since it uses less digits than its factorization.

385120097397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55643 (or 55637 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 385120097397 in words is "three hundred eighty-five billion, one hundred twenty million, ninety-seven thousand, three hundred ninety-seven".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 1009 2331 3027 6993 7063 9081 21189 27243 37333 54581 63567 111999 163743 190701 261331 335997 382067 491229 783993 1007991 1146201 1473687 2019497 2351979 3438603 6058491 7055937 10315809 14136479 18175473 42409437 54526419 55072229 127228311 165216687 381684933 385505603 495650061 1156516809 1486950183 2037672473 3469550427 6113017419 10408651281 14263707311 18339052257 42791121933 55017156771 128373365799 385120097397