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5061377152 = 271310329531
BaseRepresentation
bin1001011011010111…
…00111110010000000
3111001201212121012001
410231223213302000
540331203032102
62154122513344
7236265665416
oct45553476200
914051777161
105061377152
112168019627
12b93065854
1362879b630
143602bb2b6
151e952c487
hex12dae7c80

5061377152 has 64 divisors (see below), whose sum is σ = 10964640960. Its totient is φ = 2313262080.

The previous prime is 5061377137. The next prime is 5061377159. The reversal of 5061377152 is 2517731605.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×50613771522 = 51235077349575262208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5061377159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156627 + ... + 186157.

It is an arithmetic number, because the mean of its divisors is an integer number (171322515).

Almost surely, 25061377152 is an apocalyptic number.

5061377152 is a gapful number since it is divisible by the number (52) 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 5061377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482320480).

5061377152 is an abundant number, since it is smaller than the sum of its proper divisors (5903263808).

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

5061377152 is a wasteful number, since it uses less digits than its factorization.

5061377152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29661 (or 29649 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 5061377152 is about 71143.3563447775. The cubic root of 5061377152 is about 1716.9444072732.

It can be divided in two parts, 50613 and 77152, that added together give a triangular number (127765 = T505).

The spelling of 5061377152 in words is "five billion, sixty-one million, three hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 412 416 824 832 1339 1648 1664 2678 3296 5356 6592 10712 13184 21424 29531 42848 59062 85696 118124 171392 236248 383903 472496 767806 944992 1535612 1889984 3041693 3071224 3779968 6083386 6142448 12166772 12284896 24333544 24569792 39542009 48667088 49139584 79084018 97334176 158168036 194668352 316336072 389336704 632672144 1265344288 2530688576 5061377152