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11939640064 = 281143151653
BaseRepresentation
bin10110001111010100…
…00111001100000000
31010211002112120002021
423013222013030000
5143423021440224
65252431531224
7601606160152
oct130752071400
933732476067
1011939640064
115077685330
122392689b14
1311837bcaa1
148139c8ad2
1549d2eb1e4
hex2c7a87300

11939640064 has 144 divisors (see below), whose sum is σ = 26821073664. Its totient is φ = 5257728000.

The previous prime is 11939640029. The next prime is 11939640113. The reversal of 11939640064 is 46004693911.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 11939640064.

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, 18283962 + ... + 18284614.

It is an arithmetic number, because the mean of its divisors is an integer number (186257456).

Almost surely, 211939640064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11939640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13410536832).

11939640064 is an abundant number, since it is smaller than the sum of its proper divisors (14881433600).

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

11939640064 is a wasteful number, since it uses less digits than its factorization.

11939640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 11939640064 in words is "eleven billion, nine hundred thirty-nine million, six hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 151 172 176 256 302 344 352 473 604 653 688 704 946 1208 1306 1376 1408 1661 1892 2416 2612 2752 2816 3322 3784 4832 5224 5504 6493 6644 7183 7568 9664 10448 11008 12986 13288 14366 15136 19328 20896 25972 26576 28079 28732 30272 38656 41792 51944 53152 56158 57464 60544 71423 83584 98603 103888 106304 112316 114928 121088 142846 167168 197206 207776 212608 224632 229856 285692 308869 394412 415552 425216 449264 459712 571384 617738 788824 831104 898528 919424 1084633 1142768 1235476 1577648 1662208 1797056 1838848 2169266 2285536 2470952 3155296 3594112 4239929 4338532 4571072 4941904 6310592 7188224 8479858 8677064 9142144 9883808 12621184 16959716 17354128 18284288 19767616 25242368 33919432 34708256 39535232 46639219 67838864 69416512 79070464 93278438 135677728 138833024 186556876 271355456 277666048 373113752 542710912 746227504 1085421824 1492455008 2984910016 5969820032 11939640064