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11431500202392 = 2331753752370271
BaseRepresentation
bin1010011001011001101010…
…0000100100000110011000
31111110211200220102010110220
42212112122200210012120
52444243203022434032
640151320402240040
72256620142323154
oct246263240440630
944424626363426
1011431500202392
113708087933626
121347602356020
1364bca7b8a8ba
142b74050da064
1514c55d76612c
hexa659a824198

11431500202392 has 128 divisors (see below), whose sum is σ = 30835331112960. Its totient is φ = 3518168176640.

The previous prime is 11431500202349. The next prime is 11431500202393. The reversal of 11431500202392 is 29320200513411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431500202393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162642217 + ... + 162712487.

It is an arithmetic number, because the mean of its divisors is an integer number (240901024320).

Almost surely, 211431500202392 is an apocalyptic number.

11431500202392 is a gapful number since it is divisible by the number (12) 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 11431500202392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417665556480).

11431500202392 is an abundant number, since it is smaller than the sum of its proper divisors (19403830910568).

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

11431500202392 is a wasteful number, since it uses less digits than its factorization.

11431500202392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77873 (or 77869 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 11431500202392 in words is "eleven trillion, four hundred thirty-one billion, five hundred million, two hundred two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1272 1802 2703 3604 5406 7208 7523 10812 15046 21624 22569 30092 45138 60184 70271 90276 127891 140542 180552 210813 255782 281084 383673 398719 421626 511564 562168 767346 797438 843252 1023128 1194607 1196157 1534692 1594876 1686504 2389214 2392314 3069384 3189752 3583821 3724363 4778428 4784628 6778223 7167642 7448726 9556856 9569256 11173089 13556446 14335284 14897452 20334669 22346178 27112892 28670568 29794904 40669338 44692356 54225784 63314171 81338676 89384712 126628342 162677352 189942513 253256684 379885026 506513368 528648733 759770052 1057297466 1519540104 1585946199 2114594932 3171892398 4229189864 6343784796 8987028461 12687569592 17974056922 26961085383 28018382849 35948113844 53922170766 56036765698 71896227688 84055148547 107844341532 112073531396 168110297094 215688683064 224147062792 336220594188 476312508433 672441188376 952625016866 1428937525299 1905250033732 2857875050598 3810500067464 5715750101196 11431500202392