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19784338240 = 2651929112207
BaseRepresentation
bin10010011011001111…
…010000101101000000
31220001210201111221011
4102123033100231000
5311004242310430
613031103010304
71300163046262
oct223317205500
956053644834
1019784338240
11843281a167
123a01899994
131b33ac8a24
14d597c7b32
157abd6b22a
hex49b3d0b40

19784338240 has 112 divisors (see below), whose sum is σ = 51301497600. Its totient is φ = 7238633472.

The previous prime is 19784338213. The next prime is 19784338241. The reversal of 19784338240 is 4283348791.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19784338241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120217 + ... + 232423.

Almost surely, 219784338240 is an apocalyptic number.

19784338240 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 19784338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25650748800).

19784338240 is an abundant number, since it is smaller than the sum of its proper divisors (31517159360).

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

19784338240 is a wasteful number, since it uses less digits than its factorization.

19784338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112272 (or 112262 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 19784338240 in words is "nineteen billion, seven hundred eighty-four million, three hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 145 152 160 190 232 290 304 320 380 464 551 580 608 760 928 1102 1160 1216 1520 1856 2204 2320 2755 3040 4408 4640 5510 6080 8816 9280 11020 17632 22040 35264 44080 88160 112207 176320 224414 448828 561035 897656 1122070 1795312 2131933 2244140 3254003 3590624 4263866 4488280 6508006 7181248 8527732 8976560 10659665 13016012 16270015 17055464 17953120 21319330 26032024 32540030 34110928 35906240 42638660 52064048 61826057 65080060 68221856 85277320 104128096 123652114 130160120 136443712 170554640 208256192 247304228 260320240 309130285 341109280 494608456 520640480 618260570 682218560 989216912 1041280960 1236521140 1978433824 2473042280 3956867648 4946084560 9892169120 19784338240