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4749623948064 = 253314793331891
BaseRepresentation
bin100010100011101101110…
…1001011111001100100000
3121211001121110101212000110
41011013123221133030200
51110304212212314224
614033540324451320
71000102052302062
oct105073351371440
917731543355013
104749623948064
111571338994996
12648613549b40
13285b7012a248
14125c51045732
15838368c4929
hex451dba5f320

4749623948064 has 96 divisors (see below), whose sum is σ = 12896821002240. Its totient is φ = 1528937683200.

The previous prime is 4749623948039. The next prime is 4749623948071. The reversal of 4749623948064 is 4608493269474.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4749623947986 and 4749623948004.

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, 240442 + ... + 3091449.

It is an arithmetic number, because the mean of its divisors is an integer number (134341885440).

Almost surely, 24749623948064 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 4749623948064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448410501120).

4749623948064 is an abundant number, since it is smaller than the sum of its proper divisors (8147197054176).

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

4749623948064 is a wasteful number, since it uses less digits than its factorization.

4749623948064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332414 (or 3332406 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 66.

The spelling of 4749623948064 in words is "four trillion, seven hundred forty-nine billion, six hundred twenty-three million, nine hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 479 496 744 958 992 1437 1488 1916 2874 2976 3832 5748 7664 11496 14849 15328 22992 29698 44547 45984 59396 89094 118792 178188 237584 356376 475168 712752 1425504 3331891 6663782 9995673 13327564 19991346 26655128 39982692 53310256 79965384 103288621 106620512 159930768 206577242 309865863 319861536 413154484 619731726 826308968 1239463452 1595975789 1652617936 2478926904 3191951578 3305235872 4787927367 4957853808 6383903156 9575854734 9915707616 12767806312 19151709468 25535612624 38303418936 49475249459 51071225248 76606837872 98950498918 148425748377 153213675744 197900997836 296851496754 395801995672 593702993508 791603991344 1187405987016 1583207982688 2374811974032 4749623948064