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980693617134 = 237118988327011
BaseRepresentation
bin11100100010101011110…
…01010000100111101110
310110202100020001120001210
432101111321100213232
5112031430031222014
62030305135415250
7130565334130350
oct16212571204756
93422306046053
10980693617134
11348a00a86780
1213a094384526
137162c506c5a
14356743170d0
151a79b85b859
hexe455e509ee

980693617134 has 128 divisors (see below), whose sum is σ = 2475734077440. Its totient is φ = 251568979200.

The previous prime is 980693617133. The next prime is 980693617139. The reversal of 980693617134 is 431716396089.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980693617133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36293689 + ... + 36320699.

It is an arithmetic number, because the mean of its divisors is an integer number (19341672480).

Almost surely, 2980693617134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980693617134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237867038720).

980693617134 is an abundant number, since it is smaller than the sum of its proper divisors (1495040460306).

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

980693617134 is a wasteful number, since it uses less digits than its factorization.

980693617134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28006.

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 980693617134 in words is "nine hundred eighty billion, six hundred ninety-three million, six hundred seventeen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 89 154 178 231 267 462 534 623 883 979 1246 1766 1869 1958 2649 2937 3738 5298 5874 6181 6853 9713 12362 13706 18543 19426 20559 27011 29139 37086 41118 54022 58278 67991 78587 81033 135982 157174 162066 189077 203973 235761 297121 378154 407946 471522 550109 567231 594242 864457 891363 1100218 1134462 1650327 1728914 1782726 2079847 2403979 2593371 3300654 4159694 4807958 5186742 6051199 6239541 7211937 12102398 12479082 14423874 16827853 18153597 23850713 26443769 33655706 36307194 47701426 50483559 52887538 71552139 79331307 100967118 143104278 158662614 166954991 185106383 262357843 333909982 370212766 500864973 524715686 555319149 787073529 1001729946 1110638298 1574147058 1836504901 2122713457 3673009802 4245426914 5509514703 6368140371 11019029406 12736280742 14858994199 23349848027 29717988398 44576982597 46699696054 70049544081 89153965194 140099088162 163448936189 326897872378 490346808567 980693617134