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2926450440408 = 2331129448185303
BaseRepresentation
bin101010100101011110000…
…010011111100011011000
3101100202200100210112012110
4222211132002133203120
5340421332303043113
610120220501112320
7421300112213145
oct52453602374330
911322610715173
102926450440408
11a29111a87a90
123b31ba3b86a0
13182c69bb6141
14a18d8b013cc
15511cc6d6bc3
hex2a95e09f8d8

2926450440408 has 128 divisors (see below), whose sum is σ = 8258382604800. Its totient is φ = 856022630400.

The previous prime is 2926450440371. The next prime is 2926450440413. The reversal of 2926450440408 is 8040440546292.

2926450440408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29264504404082 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34263885 + ... + 34349187.

It is an arithmetic number, because the mean of its divisors is an integer number (64518614100).

Almost surely, 22926450440408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2926450440408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129191302400).

2926450440408 is an abundant number, since it is smaller than the sum of its proper divisors (5331932164392).

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

2926450440408 is a wasteful number, since it uses less digits than its factorization.

2926450440408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89833 (or 89829 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 2926450440408 in words is "two trillion, nine hundred twenty-six billion, four hundred fifty million, four hundred forty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 4481 7656 8962 13443 17924 26886 35848 49291 53772 85303 98582 107544 129949 147873 170606 197164 255909 259898 295746 341212 389847 394328 511818 519796 591492 682424 779694 938333 1023636 1039592 1182984 1429439 1559388 1876666 2047272 2473787 2814999 2858878 3118776 3753332 4288317 4947574 5629998 5717756 7421361 7506664 8576634 9895148 11259996 11435512 14842722 17153268 19790296 22519992 27211657 29685444 34306536 54423314 59370888 81634971 108846628 163269942 217693256 326539884 382242743 653079768 764485486 1146728229 1528970972 2293456458 3057941944 4204670173 4586912916 8409340346 9173825832 11085039547 12614010519 16818680692 22170079094 25228021038 33255118641 33637361384 44340158188 50456042076 66510237282 88680316376 100912084152 121935435017 133020474564 243870870034 266040949128 365806305051 487741740068 731612610102 975483480136 1463225220204 2926450440408