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3520852496664 = 2331771585120773
BaseRepresentation
bin110011001111000011001…
…010011001000100011000
3110110120221021010120111220
4303033003022121010120
5430141201214343124
611253242440052040
7512242002300366
oct63170312310430
913416837116456
103520852496664
11113820449a598
1248a446464020
131c7026b590a9
14c25a5714636
15618bad89879
hex333c3299118

3520852496664 has 128 divisors (see below), whose sum is σ = 9453240276480. Its totient is φ = 1088785152000.

The previous prime is 3520852496663. The next prime is 3520852496669. The reversal of 3520852496664 is 4666942580253.

It is a super-2 number, since 2×35208524966642 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3520852496598 and 3520852496607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3520852496663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169481382 + ... + 169502154.

It is an arithmetic number, because the mean of its divisors is an integer number (73853439660).

Almost surely, 23520852496664 is an apocalyptic number.

3520852496664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3520852496664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726620138240).

3520852496664 is an abundant number, since it is smaller than the sum of its proper divisors (5932387779816).

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

3520852496664 is a wasteful number, since it uses less digits than its factorization.

3520852496664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26721 (or 26717 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 3520852496664 in words is "three trillion, five hundred twenty billion, eight hundred fifty-two million, four hundred ninety-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 4828 5851 7242 9656 11702 14484 17553 20773 23404 28968 35106 41546 46808 62319 70212 83092 99467 124638 140424 166184 198934 249276 298401 353141 397868 415421 498552 596802 706282 795736 830842 1059423 1193604 1246263 1412564 1474883 1661684 2118846 2387208 2492526 2825128 2949766 3323368 4237692 4424649 4985052 5899532 7062157 8475384 8849298 9970104 11799064 14124314 17698596 21186471 25073011 28248628 35397192 42372942 50146022 56497256 75219033 84745884 100292044 121542823 150438066 169491768 200584088 243085646 300876132 364628469 486171292 601752264 729256938 972342584 1458513876 2066227991 2917027752 4132455982 6198683973 8264911964 8629540433 12397367946 16529823928 17259080866 24794735892 25888621299 34518161732 49589471784 51777242598 69036323464 103554485196 146702187361 207108970392 293404374722 440106562083 586808749444 880213124166 1173617498888 1760426248332 3520852496664