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9931097861397 = 351723229156707
BaseRepresentation
bin1001000010000100001110…
…0011110110110100010101
31022011101220021200221200000
42100201003203312310111
52300202342023031042
633042141113041513
72043332602002606
oct220410343666425
938141807627600
109931097861397
113189833926519
1211448686b6299
135706632c32cb
1426494c259dad
151234e5de474c
hex908438f6d15

9931097861397 has 144 divisors (see below), whose sum is σ = 17033796037440. Its totient is φ = 5754785895936.

The previous prime is 9931097861389. The next prime is 9931097861407. The reversal of 9931097861397 is 7931687901399.

9931097861397 is a `hidden beast` number, since 9 + 9 + 3 + 109 + 78 + 61 + 397 = 666.

It is not a de Polignac number, because 9931097861397 - 23 = 9931097861389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9931097861317) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 63295318 + ... + 63452024.

It is an arithmetic number, because the mean of its divisors is an integer number (118290250260).

Almost surely, 29931097861397 is an apocalyptic number.

It is an amenable number.

9931097861397 is a deficient number, since it is larger than the sum of its proper divisors (7102698176043).

9931097861397 is a wasteful number, since it uses less digits than its factorization.

9931097861397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156814 (or 156779 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 72.

The spelling of 9931097861397 in words is "nine trillion, nine hundred thirty-one billion, ninety-seven million, eight hundred sixty-one thousand, three hundred ninety-seven".

Divisors: 1 3 9 17 23 27 29 51 69 81 87 153 207 243 261 391 459 493 529 621 667 783 1173 1377 1479 1587 1863 2001 2349 3519 4131 4437 4761 5589 6003 7047 8993 10557 11339 13311 14283 15341 18009 26979 31671 34017 39933 42849 46023 54027 80937 95013 102051 119799 128547 138069 156707 162081 242811 260797 306153 414207 470121 728433 782391 918459 1242621 1410363 2185299 2347173 2664019 2755377 3604261 3727863 4231089 4544503 7041519 7992057 10812783 12693267 13633509 21124557 23976171 32438349 38079801 40900527 61272437 63373671 71928513 77256551 82898003 97315047 104523569 122701581 183817311 215785539 231769653 248694009 291945141 313570707 368104743 551451933 647356617 695308959 746082027 875835423 940712121 1104314229 1409266051 1654355799 1776900673 2085926877 2238246081 2404042087 2822136363 4227798153 4963067397 5330702019 6257780631 6714738243 7212126261 8466409089 12683394459 14889202191 15992106057 18773341893 20144214729 21636378783 25399227267 38050183377 40868715479 47976318171 64909136349 114150550131 122606146437 143928954513 194727409047 342451650393 367818439311 431786863539 584182227141 1103455317933 3310365953799 9931097861397