Search a number
-
+
981411000654 = 237179776918427
BaseRepresentation
bin11100100100000001010…
…01110111000101001110
310110211012012221102020210
432102000221313011032
5112034412204010104
62030504243423250
7130622164602450
oct16220051670516
93424165842223
10981411000654
11349239a19617
1213a254684b26
1371715021846
14357016d82d0
151a7de814989
hexe480a7714e

981411000654 has 128 divisors (see below), whose sum is σ = 2402916848640. Its totient is φ = 260834328576.

The previous prime is 981411000653. The next prime is 981411000719. The reversal of 981411000654 is 456000114189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981411000653) 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, 53250189 + ... + 53268615.

It is an arithmetic number, because the mean of its divisors is an integer number (18772787880).

Almost surely, 2981411000654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981411000654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201458424320).

981411000654 is an abundant number, since it is smaller than the sum of its proper divisors (1421505847986).

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

981411000654 is a wasteful number, since it uses less digits than its factorization.

With its successor (981411000655) it forms an eRAP, since the sums of their prime factors are consecutive (19322 and 19323).

981411000654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19322.

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 981411000654 in words is "nine hundred eighty-one billion, four hundred eleven million, six hundred fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 17 21 34 42 51 97 102 119 194 238 291 357 582 679 714 769 1358 1538 1649 2037 2307 3298 4074 4614 4947 5383 9894 10766 11543 13073 16149 18427 23086 26146 32298 34629 36854 39219 55281 69258 74593 78438 91511 110562 128989 149186 183022 223779 257978 274533 313259 386967 447558 522151 549066 626518 773934 939777 1044302 1268081 1566453 1787419 1879554 2192813 2536162 3132906 3574838 3804243 4385626 5362257 6578439 7608486 8876567 10724514 12511933 13156878 14170363 17753134 25023866 26629701 28340726 30386123 37535799 42511089 53259402 60772246 75071598 85022178 91158369 99192541 182316738 198385082 212702861 240896171 297577623 425405722 481792342 595155246 638108583 722688513 1276217166 1374525211 1445377026 1686273197 2749050422 3372546394 4123575633 5058819591 8247151266 9621676477 10117639182 19243352954 23366928587 28865029431 46733857174 57730058862 70100785761 140201571522 163568500109 327137000218 490705500327 981411000654