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21908198032440 = 23351722074866023
BaseRepresentation
bin1001111101100111001100…
…10111001000010000111000
32212120101212222201012201020
410332303212113020100320
510332420442144014230
6114332253124222440
74420546366462446
oct476634627102070
985511788635636
1021908198032440
116a8723a709945
122559b5723aa20
13c2bc1b5c7335
1455a510783b96
1527ed386e0810
hex13ece65c8438

21908198032440 has 128 divisors (see below), whose sum is σ = 69622292828160. Its totient is φ = 5496035600384.

The previous prime is 21908198032433. The next prime is 21908198032493. The reversal of 21908198032440 is 4423089180912.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 2069269 + ... + 6935291.

It is an arithmetic number, because the mean of its divisors is an integer number (543924162720).

Almost surely, 221908198032440 is an apocalyptic number.

21908198032440 is a gapful number since it is divisible by the number (20) 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 21908198032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34811146414080).

21908198032440 is an abundant number, since it is smaller than the sum of its proper divisors (47714094795720).

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

21908198032440 is a wasteful number, since it uses less digits than its factorization.

21908198032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868261 (or 4868257 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 21908198032440 in words is "twenty-one trillion, nine hundred eight billion, one hundred ninety-eight million, thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2207 4414 6621 8828 11035 13242 17656 22070 26484 33105 37519 44140 52968 66210 75038 88280 112557 132420 150076 187595 225114 264840 300152 375190 450228 562785 750380 900456 1125570 1500760 2251140 4502280 4866023 9732046 14598069 19464092 24330115 29196138 38928184 48660230 58392276 72990345 82722391 97320460 116784552 145980690 165444782 194640920 248167173 291961380 330889564 413611955 496334346 583922760 661779128 827223910 992668692 1240835865 1654447820 1985337384 2481671730 3308895640 4963343460 9926686920 10739312761 21478625522 32217938283 42957251044 53696563805 64435876566 85914502088 107393127610 128871753132 161089691415 182568316937 214786255220 257743506264 322179382830 365136633874 429572510440 547704950811 644358765660 730273267748 912841584685 1095409901622 1288717531320 1460546535496 1825683169370 2190819803244 2738524754055 3651366338740 4381639606488 5477049508110 7302732677480 10954099016220 21908198032440