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231138618384 = 24331795093863
BaseRepresentation
bin1101011101000011101…
…1110110110000010000
3211002121110002101122210
43113100323312300100
512241332441242014
6254103354432120
722461554560662
oct3272073666020
9732543071583
10231138618384
118a0307a7063
1238967a32640
1318a4756695b
14b28983c532
15602c011859
hex35d0ef6c10

231138618384 has 160 divisors (see below), whose sum is σ = 625559961600. Its totient is φ = 73453386240.

The previous prime is 231138618383. The next prime is 231138618409. The reversal of 231138618384 is 483816831132.

231138618384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (231138618383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59832037 + ... + 59835899.

It is an arithmetic number, because the mean of its divisors is an integer number (3909749760).

Almost surely, 2231138618384 is an apocalyptic number.

231138618384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231138618384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312779980800).

231138618384 is an abundant number, since it is smaller than the sum of its proper divisors (394421343216).

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

231138618384 is a wasteful number, since it uses less digits than its factorization.

231138618384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4487 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 231138618384 in words is "two hundred thirty-one billion, one hundred thirty-eight million, six hundred eighteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 124 158 186 237 248 316 372 474 496 509 632 744 948 1018 1264 1488 1527 1896 2036 2449 3054 3792 3863 4072 4898 6108 7347 7726 8144 9796 11589 12216 14694 15452 15779 19592 23178 24432 29388 30904 31558 39184 40211 46356 47337 58776 61808 63116 80422 92712 94674 117552 119753 120633 126232 160844 185424 189348 239506 241266 252464 305177 321688 359259 378696 479012 482532 610354 643376 718518 757392 915531 958024 965064 1220708 1246541 1437036 1831062 1916048 1930128 1966267 2441416 2493082 2874072 3662124 3739623 3932534 4882832 4986164 5748144 5898801 7324248 7479246 7865068 9460487 9972328 11797602 14648496 14958492 15730136 18920974 19944656 23595204 28381461 29916984 31460272 37841948 47190408 56762922 59833968 60954277 75683896 94380816 113525844 121908554 151367792 155335093 182862831 227051688 243817108 310670186 365725662 454103376 466005279 487634216 621340372 731451324 932010558 975268432 1242680744 1462902648 1864021116 2485361488 2925805296 3728042232 4815387883 7456084464 9630775766 14446163649 19261551532 28892327298 38523103064 57784654596 77046206128 115569309192 231138618384