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9979203662272 = 2613471511690043
BaseRepresentation
bin1001000100110111011011…
…1000111011000111000000
31022100000001212020211120201
42101031312320323013000
52301444402114143042
633120214411214544
72046654653366125
oct221156670730700
938300055224521
109979203662272
1131a817a345749
121152053147454
1357505b7b0940
14266dd319274c
151248ae3251b7
hex91376e3b1c0

9979203662272 has 112 divisors (see below), whose sum is σ = 21923737500672. Its totient is φ = 4477935283200.

The previous prime is 9979203662251. The next prime is 9979203662279. The reversal of 9979203662272 is 2722663029799.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9979203662279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5059683 + ... + 6749725.

It is an arithmetic number, because the mean of its divisors is an integer number (195747656256).

Almost surely, 29979203662272 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 9979203662272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961868750336).

9979203662272 is an abundant number, since it is smaller than the sum of its proper divisors (11944533838400).

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

9979203662272 is a wasteful number, since it uses less digits than its factorization.

9979203662272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690266 (or 1690256 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 64.

The spelling of 9979203662272 in words is "nine trillion, nine hundred seventy-nine billion, two hundred three million, six hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 151 188 208 302 376 416 604 611 752 832 1208 1222 1504 1963 2416 2444 3008 3926 4832 4888 7097 7852 9664 9776 14194 15704 19552 28388 31408 39104 56776 62816 92261 113552 125632 184522 227104 369044 454208 738088 1476176 1690043 2952352 3380086 5904704 6760172 13520344 21970559 27040688 43941118 54081376 79432021 87882236 108162752 158864042 175764472 255196493 317728084 351528944 510392986 635456168 703057888 1020785972 1032616273 1270912336 1406115776 2041571944 2065232546 2541824672 3317554409 4083143888 4130465092 5083649344 6635108818 8166287776 8260930184 11994235171 13270217636 16332575552 16521860368 23988470342 26540435272 33043720736 47976940684 53080870544 66087441472 95953881368 106161741088 155925057223 191907762736 212323482176 311850114446 383815525472 623700228892 767631050944 1247400457784 2494800915568 4989601831136 9979203662272