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5330331100998 = 23217107433737537
BaseRepresentation
bin100110110010001000001…
…1111011110011101000110
3200212120111221100201201100
41031210100133132131012
51144313004230212443
615200415330240530
71060050400535421
oct115442037363506
920776457321640
105330331100998
111775642a43982
12721079126146
132c8856a54bc7
14145dbccc09b8
15939c2b0d3d3
hex4d9107de746

5330331100998 has 96 divisors (see below), whose sum is σ = 12345865612704. Its totient is φ = 1656206032896.

The previous prime is 5330331100961. The next prime is 5330331100999. The reversal of 5330331100998 is 8990011330335.

5330331100998 is a `hidden beast` number, since 533 + 0 + 3 + 3 + 1 + 100 + 9 + 9 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5330331100999) 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, 141983286 + ... + 142020822.

It is an arithmetic number, because the mean of its divisors is an integer number (128602766799).

Almost surely, 25330331100998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5330331100998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172932806352).

5330331100998 is an abundant number, since it is smaller than the sum of its proper divisors (7015534511706).

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

5330331100998 is a wasteful number, since it uses less digits than its factorization.

5330331100998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42006 (or 42003 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 5330331100998 in words is "five trillion, three hundred thirty billion, three hundred thirty-one million, one hundred thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 107 153 214 306 321 642 963 1819 1926 3638 4337 5457 8674 10914 13011 16371 26022 32742 37537 39033 73729 75074 78066 112611 147458 221187 225222 337833 442374 464059 638129 663561 675666 928118 1276258 1327122 1392177 1914387 2784354 3828774 4016459 4176531 5743161 7889003 8032918 8353062 11486322 12049377 15778006 23667009 24098754 36148131 47334018 68279803 71001027 72296262 136559606 142002054 162797969 204839409 325595938 409678818 488393907 614518227 976787814 1229036454 1465181721 2767565473 2930363442 5535130946 8302696419 16605392838 17419382683 24908089257 34838765366 49816178514 52258148049 104516296098 156774444147 296129505611 313548888294 592259011222 888388516833 1776777033666 2665165550499 5330331100998