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19834692720 = 2435107772379
BaseRepresentation
bin10010011110001111…
…010110010001110000
31220012022110210021220
4102132033112101300
5311110140131340
613040102145040
71301344051323
oct223617262160
956168423256
1019834692720
118459192237
123a16722180
131b4137958b
14d623747ba
157b14b5ed0
hex49e3d6470

19834692720 has 80 divisors (see below), whose sum is σ = 62062277760. Its totient is φ = 5239812352.

The previous prime is 19834692701. The next prime is 19834692739. The reversal of 19834692720 is 2729643891.

It is an interprime number because it is at equal distance from previous prime (19834692701) and next prime (19834692739).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360510 + ... + 411869.

It is an arithmetic number, because the mean of its divisors is an integer number (775778472).

Almost surely, 219834692720 is an apocalyptic number.

19834692720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19834692720 is an abundant number, since it is smaller than the sum of its proper divisors (42227585040).

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

19834692720 is a wasteful number, since it uses less digits than its factorization.

19834692720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772502 (or 772496 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 19834692720 in words is "nineteen billion, eight hundred thirty-four million, six hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 6420 8560 12840 25680 772379 1544758 2317137 3089516 3861895 4634274 6179032 7723790 9268548 11585685 12358064 15447580 18537096 23171370 30895160 37074192 46342740 61790320 82644553 92685480 165289106 185370960 247933659 330578212 413222765 495867318 661156424 826445530 991734636 1239668295 1322312848 1652891060 1983469272 2479336590 3305782120 3966938544 4958673180 6611564240 9917346360 19834692720