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5053006944 = 253231565973
BaseRepresentation
bin1001011010010111…
…01100010001100000
3111001011010100102100
410231023230101200
540322032210234
62153223250400
7236134564446
oct45513542140
914034110370
105053006944
1121633219a7
12b902a9a00
13626b2a84b
1435d13cb96
151e8927399
hex12d2ec460

5053006944 has 72 divisors (see below), whose sum is σ = 14833046592. Its totient is φ = 1629999360.

The previous prime is 5053006921. The next prime is 5053006949. The reversal of 5053006944 is 4496003505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×50530069442 = 51065758352224438272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5053006899 and 5053006908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5053006949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274059 + ... + 291914.

It is an arithmetic number, because the mean of its divisors is an integer number (206014536).

Almost surely, 25053006944 is an apocalyptic number.

It is an amenable number.

5053006944 is an abundant number, since it is smaller than the sum of its proper divisors (9780039648).

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

5053006944 is a wasteful number, since it uses less digits than its factorization.

5053006944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566020 (or 566009 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5053006944 is about 71084.5056534826. The cubic root of 5053006944 is about 1715.9974244831.

The spelling of 5053006944 in words is "five billion, fifty-three million, six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 565973 1131946 1697919 2263892 3395838 4527784 5093757 6791676 9055568 10187514 13583352 17545163 18111136 20375028 27166704 35090326 40750056 52635489 54333408 70180652 81500112 105270978 140361304 157906467 163000224 210541956 280722608 315812934 421083912 561445216 631625868 842167824 1263251736 1684335648 2526503472 5053006944