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90114300738 = 23372113096073
BaseRepresentation
bin101001111101100111…
…0110001101101000010
322121121012221210021000
41103323032301231002
52434023230110423
6105221542112430
76340054626600
oct1237316615502
9277535853230
1090114300738
113524319aa10
121556b11b716
138661702057
14450c172870
152526408843
hex14fb3b1b42

90114300738 has 96 divisors (see below), whose sum is σ = 254125753920. Its totient is φ = 23406304320.

The previous prime is 90114300707. The next prime is 90114300739. The reversal of 90114300738 is 83700341109.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90114300739) 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, 1518931 + ... + 1577142.

It is an arithmetic number, because the mean of its divisors is an integer number (2647143270).

Almost surely, 290114300738 is an apocalyptic number.

90114300738 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

90114300738 is an abundant number, since it is smaller than the sum of its proper divisors (164011453182).

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

90114300738 is a wasteful number, since it uses less digits than its factorization.

90114300738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096109 (or 3096096 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 90114300738 in words is "ninety billion, one hundred fourteen million, three hundred thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 882 1078 1323 1386 1617 2079 2646 3234 4158 4851 9702 14553 29106 3096073 6192146 9288219 18576438 21672511 27864657 34056803 43345022 55729314 65017533 68113606 83593971 102170409 130035066 151707577 167187942 195052599 204340818 238397621 303415154 306511227 390105198 455122731 476795242 585157797 613022454 715192863 910245462 919533681 1170315594 1365368193 1430385726 1668783347 1839067362 2145578589 2730736386 3337566694 4096104579 4291157178 5006350041 6436735767 8192209158 10012700082 12873471534 15019050123 30038100246 45057150369 90114300738