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90020446429641 = 37132192672349957
BaseRepresentation
bin10100011101111110000100…
…101110110110000111001001
3102210201212111200122112001020
4110131332010232312013021
543244343333241222031
6515242453331343053
724650522403330660
oct2435760456660711
9383655450575036
1090020446429641
11267575031aa3a2
12a11a695451a89
133b2cb79011c00
1418330273b7dd7
15a619898cd096
hex51df84bb61c9

90020446429641 has 96 divisors (see below), whose sum is σ = 156364287575040. Its totient is φ = 44981606921472.

The previous prime is 90020446429637. The next prime is 90020446429687. The reversal of 90020446429641 is 14692464402009.

It is not a de Polignac number, because 90020446429641 - 22 = 90020446429637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90020446429631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1801933635 + ... + 1801983591.

It is an arithmetic number, because the mean of its divisors is an integer number (1628794662240).

Almost surely, 290020446429641 is an apocalyptic number.

90020446429641 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

90020446429641 is a deficient number, since it is larger than the sum of its proper divisors (66343841145399).

90020446429641 is a wasteful number, since it uses less digits than its factorization.

90020446429641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76735 (or 76722 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 90020446429641 in words is "ninety trillion, twenty billion, four hundred forty-six million, four hundred twenty-nine thousand, six hundred forty-one".

Divisors: 1 3 7 13 19 21 39 57 91 133 169 247 273 399 507 741 1183 1729 3211 3549 5187 9633 22477 26723 49957 67431 80169 149871 187061 347399 349699 507737 561183 649441 949183 1042197 1049097 1523211 1948323 2431793 2847549 3554159 4516187 4546087 6600581 6644281 7295379 8442733 10662477 12339379 13548561 13638261 19801743 19932843 25328199 31613309 37018137 46204067 59099131 85807553 86375653 94839927 138612201 160411927 177297393 257422659 259126959 481235781 600652871 1122883489 1335000911 1801958613 3368650467 4005002733 9345006377 17355011843 25365017309 28035019131 52065035529 76095051927 121485082901 177555121163 225615153959 329745225017 364455248703 532665363489 676845461877 989235675051 1579306077713 2308216575119 4286687925221 4737918233139 6924649725357 12860063775663 30006815476547 90020446429641