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199719119616 = 283598815003
BaseRepresentation
bin1011101000000000101…
…1111110101100000000
3201002111202202111001020
42322000023332230000
511233011043311431
6231425533505440
720300140335522
oct2720013765400
9632452674036
10199719119616
1177778266655
1232859642280
1315aab086b73
149948a87a12
1552dd990696
hex2e802feb00

199719119616 has 144 divisors (see below), whose sum is σ = 541275073920. Its totient is φ = 65357332480.

The previous prime is 199719119573. The next prime is 199719119617. The reversal of 199719119616 is 616911917991.

It is a self number, because there is not a number n which added to its sum of digits gives 199719119616.

It is not an unprimeable number, because it can be changed into a prime (199719119617) 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, 39917371 + ... + 39922373.

It is an arithmetic number, because the mean of its divisors is an integer number (3758854680).

Almost surely, 2199719119616 is an apocalyptic number.

199719119616 is a gapful number since it is divisible by the number (16) 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 199719119616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270637536960).

199719119616 is an abundant number, since it is smaller than the sum of its proper divisors (341555954304).

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

199719119616 is an equidigital number, since it uses as much as digits as its factorization.

199719119616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5948 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 60.

The spelling of 199719119616 in words is "one hundred ninety-nine billion, seven hundred nineteen million, one hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 881 944 1416 1762 1888 2643 2832 3524 3776 5003 5286 5664 7048 7552 10006 10572 11328 14096 15009 15104 20012 21144 22656 28192 30018 40024 42288 45312 51979 56384 60036 80048 84576 103958 112768 120072 155937 160096 169152 207916 225536 240144 295177 311874 320192 338304 415832 480288 590354 623748 640384 676608 831664 885531 960576 1180708 1247496 1280768 1663328 1771062 1921152 2361416 2494992 3326656 3542124 3842304 4407643 4722832 4989984 6653312 7084248 8815286 9445664 9979968 13222929 13306624 14168496 17630572 18891328 19959936 26445858 28336992 35261144 37782656 39919872 52891716 56673984 70522288 75565312 105783432 113347968 141044576 211566864 226695936 260050937 282089152 423133728 520101874 564178304 780152811 846267456 1040203748 1128356608 1560305622 1692534912 2080407496 3120611244 3385069824 4160814992 6241222488 8321629984 12482444976 16643259968 24964889952 33286519936 49929779904 66573039872 99859559808 199719119616