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19716925440 = 21135641827
BaseRepresentation
bin10010010111001110…
…000110100000000000
31212220002212120221210
4102113032012200000
5310340013103230
613020254050120
71265414046432
oct222716064000
955802776853
1019716925440
1183a8765a03
1239a31a9940
131b22b549b4
14d5087a652
157a5ea1eb0
hex497386800

19716925440 has 96 divisors (see below), whose sum is σ = 63078855840. Its totient is φ = 5257838592.

The previous prime is 19716925439. The next prime is 19716925447. The reversal of 19716925440 is 4452961791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19716925440.

It is not an unprimeable number, because it can be changed into a prime (19716925447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290194 + ... + 351633.

It is an arithmetic number, because the mean of its divisors is an integer number (657071415).

Almost surely, 219716925440 is an apocalyptic number.

19716925440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19716925440 is an abundant number, since it is smaller than the sum of its proper divisors (43361930400).

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

19716925440 is an equidigital number, since it uses as much as digits as its factorization.

19716925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641857 (or 641837 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 19716925440 in words is "nineteen billion, seven hundred sixteen million, nine hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 641827 1283654 1925481 2567308 3209135 3850962 5134616 6418270 7701924 9627405 10269232 12836540 15403848 19254810 20538464 25673080 30807696 38509620 41076928 51346160 61615392 77019240 82153856 102692320 123230784 154038480 164307712 205384640 246461568 308076960 328615424 410769280 492923136 616153920 657230848 821538560 985846272 1232307840 1314461696 1643077120 1971692544 2464615680 3286154240 3943385088 4929231360 6572308480 9858462720 19716925440