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997291826424 = 2333191129215239
BaseRepresentation
bin11101000001100110011…
…10011001110011111000
310112100011222111221202000
432200303032121303320
5112314423201421144
62042052144541000
7132023551441155
oct16406316316370
93470158457660
10997291826424
11354a49267013
12141347021760
13730761ac97a
14363aa8c722c
151ae1db19769
hexe833399cf8

997291826424 has 128 divisors (see below), whose sum is σ = 2918654400000. Its totient is φ = 314653849344.

The previous prime is 997291826383. The next prime is 997291826431. The reversal of 997291826424 is 424628192799.

997291826424 is a `hidden beast` number, since 9 + 9 + 7 + 29 + 182 + 6 + 424 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4525797 + ... + 4741035.

It is an arithmetic number, because the mean of its divisors is an integer number (22801987500).

Almost surely, 2997291826424 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 997291826424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459327200000).

997291826424 is an abundant number, since it is smaller than the sum of its proper divisors (1921362573576).

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

997291826424 is a wasteful number, since it uses less digits than its factorization.

997291826424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216402 (or 216392 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 997291826424 in words is "nine hundred ninety-seven billion, two hundred ninety-one million, eight hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1129 1368 2052 2258 3387 4104 4516 6774 9032 10161 13548 20322 21451 27096 30483 40644 42902 60966 64353 81288 85804 121932 128706 171608 193059 215239 243864 257412 386118 430478 514824 579177 645717 772236 860956 1158354 1291434 1544472 1721912 1937151 2316708 2582868 3874302 4089541 4633416 5165736 5811453 7748604 8179082 11622906 12268623 15497208 16358164 23245812 24537246 32716328 36805869 46491624 49074492 73611738 98148984 110417607 147223476 220835214 243004831 294446952 441670428 486009662 729014493 883340856 972019324 1458028986 1944038648 2187043479 2916057972 4374086958 4617091789 5832115944 6561130437 8748173916 9234183578 13122260874 13851275367 17496347832 18468367156 26244521748 27702550734 36936734312 41553826101 52489043496 55405101468 83107652202 110810202936 124661478303 166215304404 249322956606 332430608808 498645913212 997291826424