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16114797792 = 2532971813187
BaseRepresentation
bin11110000001000010…
…00100110011100000
31112121001211112202200
433000201010303200
5231000342012132
611223020013200
71110224343522
oct170041046340
945531745680
1016114797792
11691a424105
123158991200
13169a7ab312
14acc2d5a12
15644b1ed7c
hex3c0844ce0

16114797792 has 144 divisors (see below), whose sum is σ = 46569296592. Its totient is φ = 5285191680.

The previous prime is 16114797761. The next prime is 16114797799. The reversal of 16114797792 is 29779741161.

It is a happy number.

16114797792 is a `hidden beast` number, since 1 + 6 + 11 + 479 + 77 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16114797799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5054823 + ... + 5058009.

It is an arithmetic number, because the mean of its divisors is an integer number (323397893).

Almost surely, 216114797792 is an apocalyptic number.

16114797792 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 16114797792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23284648296).

16114797792 is an abundant number, since it is smaller than the sum of its proper divisors (30454498800).

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

16114797792 is a wasteful number, since it uses less digits than its factorization.

16114797792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3470 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The spelling of 16114797792 in words is "sixteen billion, one hundred fourteen million, seven hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 181 194 288 291 362 388 543 582 724 776 873 1086 1164 1448 1552 1629 1746 2172 2328 2896 3104 3187 3258 3492 4344 4656 5792 6374 6516 6984 8688 9312 9561 12748 13032 13968 17376 17557 19122 25496 26064 27936 28683 35114 38244 50992 52128 52671 57366 70228 76488 101984 105342 114732 140456 152976 158013 210684 229464 280912 305952 309139 316026 421368 458928 561824 576847 618278 632052 842736 917856 927417 1153694 1236556 1264104 1685472 1730541 1854834 2307388 2473112 2528208 2782251 3461082 3709668 4614776 4946224 5056416 5191623 5564502 6922164 7419336 9229552 9892448 10383246 11129004 13844328 14838672 18459104 20766492 22258008 27688656 29677344 41532984 44516016 55377312 55954159 83065968 89032032 111908318 166131936 167862477 223816636 335724954 447633272 503587431 671449908 895266544 1007174862 1342899816 1790533088 2014349724 2685799632 4028699448 5371599264 8057398896 16114797792