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9978273396 = 223271319160309
BaseRepresentation
bin10010100101100000…
…00101111001110100
3221202101212210211100
421102300011321310
5130413414222041
64330045010100
7502161632040
oct112260057164
927671783740
109978273396
114260525543
121b25853930
13c303511b0
146a9309020
153d601a6b6
hex252c05e74

9978273396 has 144 divisors (see below), whose sum is σ = 32677590400. Its totient is φ = 2493110016.

The previous prime is 9978273391. The next prime is 9978273401. The reversal of 9978273396 is 6933728799.

It is an interprime number because it is at equal distance from previous prime (9978273391) and next prime (9978273401).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9978273391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17911 + ... + 142398.

Almost surely, 29978273396 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 9978273396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338795200).

9978273396 is an abundant number, since it is smaller than the sum of its proper divisors (22699317004).

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

9978273396 is a wasteful number, since it uses less digits than its factorization.

9978273396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160358 (or 160353 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The square root of 9978273396 is about 99891.3079101480. The cubic root of 9978273396 is about 2152.8732736977.

The spelling of 9978273396 in words is "nine billion, nine hundred seventy-eight million, two hundred seventy-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2394 2964 3276 3458 4446 4788 5187 6916 8892 10374 15561 20748 31122 62244 160309 320618 480927 641236 961854 1122163 1442781 1923708 2084017 2244326 2885562 3045871 3366489 4168034 4488652 5771124 6091742 6252051 6732978 8336068 9137613 10099467 12183484 12504102 13465956 14588119 18275226 18756153 20198934 21321097 25008204 27412839 29176238 36550452 37512306 39596323 40397868 42642194 43764357 54825678 58352476 63963291 75024612 79192646 85284388 87528714 109651356 118788969 127926582 131293071 158385292 175057428 191889873 237577938 255853164 262586142 277174261 356366907 383779746 475155876 525172284 554348522 712733814 767559492 831522783 1108697044 1425467628 1663045566 2494568349 3326091132 4989136698 9978273396