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19973803152 = 2432322381131
BaseRepresentation
bin10010100110100010…
…000000110010010000
31220120000020022221010
4102212202000302100
5311401243200102
613101551530520
71304653345152
oct224642006220
956500208833
1019973803152
11851a766a36
123a55229a40
131b64134a44
14d76a26ad2
157bd7e3d6c
hex4a6880c90

19973803152 has 80 divisors (see below), whose sum is σ = 54084538368. Its totient is φ = 6339822720.

The previous prime is 19973803151. The next prime is 19973803169. The reversal of 19973803152 is 25130837991.

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

It is not an unprimeable number, because it can be changed into a prime (19973803151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205627 + ... + 286757.

Almost surely, 219973803152 is an apocalyptic number.

19973803152 is a gapful number since it is divisible by the number (12) 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 19973803152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27042269184).

19973803152 is an abundant number, since it is smaller than the sum of its proper divisors (34110735216).

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

19973803152 is a wasteful number, since it uses less digits than its factorization.

19973803152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81388 (or 81382 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 19973803152 in words is "nineteen billion, nine hundred seventy-three million, eight hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 223 276 368 446 552 669 892 1104 1338 1784 2676 3568 5129 5352 10258 10704 15387 20516 30774 41032 61548 81131 82064 123096 162262 243393 246192 324524 486786 649048 973572 1298096 1866013 1947144 3732026 3894288 5598039 7464052 11196078 14928104 18092213 22392156 29856208 36184426 44784312 54276639 72368852 89568624 108553278 144737704 217106556 289475408 416120899 434213112 832241798 868426224 1248362697 1664483596 2496725394 3328967192 4993450788 6657934384 9986901576 19973803152