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19342469840 = 245312435851
BaseRepresentation
bin10010000000111001…
…101010101011010000
31211221000021021102212
4102000321222223100
5304103133013330
612515200131252
71253216165231
oct220071525320
954830237385
1019342469840
118226357971
1238b9906b28
131a933b8335
14d16c45088
15783187295
hex480e6aad0

19342469840 has 120 divisors (see below), whose sum is σ = 47557518624. Its totient is φ = 7312032000.

The previous prime is 19342469821. The next prime is 19342469879. The reversal of 19342469840 is 4896424391.

It is a super-2 number, since 2×193424698402 (a number of 21 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 23 ways as a sum of consecutive naturals, for example, 3302915 + ... + 3308765.

Almost surely, 219342469840 is an apocalyptic number.

19342469840 is a gapful number since it is divisible by the number (10) 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 19342469840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778759312).

19342469840 is an abundant number, since it is smaller than the sum of its proper divisors (28215048784).

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

19342469840 is a wasteful number, since it uses less digits than its factorization.

19342469840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 19342469840 in words is "nineteen billion, three hundred forty-two million, four hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 43 62 80 86 124 155 172 215 248 310 344 430 496 620 688 860 961 1240 1333 1720 1922 2480 2666 3440 3844 4805 5332 5851 6665 7688 9610 10664 11702 13330 15376 19220 21328 23404 26660 29255 38440 41323 46808 53320 58510 76880 82646 93616 106640 117020 165292 181381 206615 234040 251593 330584 362762 413230 468080 503186 661168 725524 826460 906905 1006372 1257965 1451048 1652920 1813810 2012744 2515930 2902096 3305840 3627620 4025488 5031860 5622811 7255240 7799383 10063720 11245622 14510480 15598766 20127440 22491244 28114055 31197532 38996915 44982488 56228110 62395064 77993830 89964976 112456220 124790128 155987660 224912440 241780873 311975320 449824880 483561746 623950640 967123492 1208904365 1934246984 2417808730 3868493968 4835617460 9671234920 19342469840