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19641405696 = 283117331849
BaseRepresentation
bin10010010010101110…
…000001000100000000
31212200211202210100020
4102102232001010000
5310211144440241
613004555253440
71263506123313
oct222256010400
955624683306
1019641405696
11836a0748a0
123981a4a280
131b10302963
14d4481c97a
1579e535b66
hex492b81100

19641405696 has 144 divisors (see below), whose sum is σ = 57810043200. Its totient is φ = 5870223360.

The previous prime is 19641405649. The next prime is 19641405709. The reversal of 19641405696 is 69650414691.

It is a happy number.

It is a super-2 number, since 2×196414056962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600780 + ... + 632628.

Almost surely, 219641405696 is an apocalyptic number.

19641405696 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 19641405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28905021600).

19641405696 is an abundant number, since it is smaller than the sum of its proper divisors (38168637504).

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

19641405696 is a wasteful number, since it uses less digits than its factorization.

19641405696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31952 (or 31938 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 19641405696 in words is "nineteen billion, six hundred forty-one million, four hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 128 132 146 176 192 219 256 264 292 352 384 438 528 584 704 768 803 876 1056 1168 1408 1606 1752 2112 2336 2409 2816 3212 3504 4224 4672 4818 6424 7008 8448 9344 9636 12848 14016 18688 19272 25696 28032 31849 38544 51392 56064 63698 77088 95547 102784 127396 154176 191094 205568 254792 308352 350339 382188 509584 616704 700678 764376 1019168 1051017 1401356 1528752 2038336 2102034 2324977 2802712 3057504 4076672 4204068 4649954 5605424 6115008 6974931 8153344 8408136 9299908 11210848 12230016 13949862 16816272 18599816 22421696 24460032 25574747 27899724 33632544 37199632 44843392 51149494 55799448 67265088 74399264 76724241 89686784 102298988 111598896 134530176 148798528 153448482 204597976 223197792 269060352 297597056 306896964 409195952 446395584 595194112 613793928 818391904 892791168 1227587856 1636783808 1785582336 2455175712 3273567616 4910351424 6547135232 9820702848 19641405696