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91539141440 = 2652394212843
BaseRepresentation
bin101010101000000101…
…0000111001101000000
322202021112001012020212
41111100022013031000
52444433010011230
6110015201253252
76420265602245
oct1252012071500
9282245035225
1091539141440
113590450590a
12158a8334228
13882a96a366
1446054ad5cc
1525ab558895
hex1550287340

91539141440 has 112 divisors (see below), whose sum is σ = 219486723840. Its totient is φ = 36363048960.

The previous prime is 91539141437. The next prime is 91539141559. The reversal of 91539141440 is 4414193519.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32196659 + ... + 32199501.

Almost surely, 291539141440 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 91539141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109743361920).

91539141440 is an abundant number, since it is smaller than the sum of its proper divisors (127947582400).

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

91539141440 is a wasteful number, since it uses less digits than its factorization.

91539141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 91539141440 in words is "ninety-one billion, five hundred thirty-nine million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 239 320 421 478 842 956 1195 1684 1912 2105 2390 2843 3368 3824 4210 4780 5686 6736 7648 8420 9560 11372 13472 14215 15296 16840 19120 22744 26944 28430 33680 38240 45488 56860 67360 76480 90976 100619 113720 134720 181952 201238 227440 402476 454880 503095 679477 804952 909760 1006190 1196903 1358954 1609904 2012380 2393806 2717908 3219808 3397385 4024760 4787612 5435816 5984515 6439616 6794770 8049520 9575224 10871632 11969030 13589540 16099040 19150448 21743264 23938060 27179080 32198080 38300896 43486528 47876120 54358160 76601792 95752240 108716320 191504480 217432640 286059817 383008960 572119634 1144239268 1430299085 2288478536 2860598170 4576957072 5721196340 9153914144 11442392680 18307828288 22884785360 45769570720 91539141440