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19944177408 = 283261141907
BaseRepresentation
bin10010100100110000…
…111111111100000000
31220110221111012001100
4102210300333330000
5311321202134113
613055012534400
71304143465551
oct224460777400
956427435040
1019944177408
118504a71751
123a47321400
131b5ac6120c
14d72b14328
157bade0d73
hex4a4c3ff00

19944177408 has 108 divisors (see below), whose sum is σ = 58447080328. Its totient is φ = 6539028480.

The previous prime is 19944177401. The next prime is 19944177413. The reversal of 19944177408 is 80477144991.

19944177408 is a `hidden beast` number, since 1 + 99 + 441 + 77 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19944177401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69591 + ... + 211497.

Almost surely, 219944177408 is an apocalyptic number.

19944177408 is a gapful number since it is divisible by the number (18) 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 19944177408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29223540164).

19944177408 is an abundant number, since it is smaller than the sum of its proper divisors (38502902920).

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

19944177408 is a wasteful number, since it uses less digits than its factorization.

19944177408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141990 (or 141973 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 19944177408 in words is "nineteen billion, nine hundred forty-four million, one hundred seventy-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 549 576 732 768 976 1098 1152 1464 1952 2196 2304 2928 3904 4392 5856 7808 8784 11712 15616 17568 23424 35136 46848 70272 140544 141907 283814 425721 567628 851442 1135256 1277163 1702884 2270512 2554326 3405768 4541024 5108652 6811536 8656327 9082048 10217304 13623072 17312654 18164096 20434608 25968981 27246144 34625308 36328192 40869216 51937962 54492288 69250616 77906943 81738432 103875924 108984576 138501232 155813886 163476864 207751848 277002464 311627772 326953728 415503696 554004928 623255544 831007392 1108009856 1246511088 1662014784 2216019712 2493022176 3324029568 4986044352 6648059136 9972088704 19944177408