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48073688564 = 22113594217229
BaseRepresentation
bin101100110001011010…
…100100010111110100
311121002100010102002212
4230301122210113310
51241423331013224
634030145552552
73321211416266
oct546132442764
9147070112085
1048073688564
111942a386830
129397945758
1346c1956085
142480977b36
1513b56dad0e
hexb316a45f4

48073688564 has 48 divisors (see below), whose sum is σ = 92264054400. Its totient is φ = 21736041600.

The previous prime is 48073688521. The next prime is 48073688569. The reversal of 48073688564 is 46588637084.

It is a happy number.

48073688564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480736885643 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48073688569) 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, 6646502 + ... + 6653730.

It is an arithmetic number, because the mean of its divisors is an integer number (1922167800).

Almost surely, 248073688564 is an apocalyptic number.

48073688564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48073688564 is a deficient number, since it is larger than the sum of its proper divisors (44190365836).

48073688564 is a wasteful number, since it uses less digits than its factorization.

48073688564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 59.

It can be divided in two parts, 48073 and 688564, that added together give a palindrome (736637).

The spelling of 48073688564 in words is "forty-eight billion, seventy-three million, six hundred eighty-eight thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 44 359 421 718 842 1436 1684 3949 4631 7229 7898 9262 14458 15796 18524 28916 79519 151139 159038 302278 318076 604556 1662529 2595211 3043409 3325058 5190422 6086818 6650116 10380844 12173636 28547321 33477499 57094642 66954998 114189284 133909996 1092583831 2185167662 4370335324 12018422141 24036844282 48073688564