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52742691552 = 2537336720507
BaseRepresentation
bin110001000111101101…
…011001101011100000
312001010201200100010110
4301013231121223200
51331004112112202
640121334531320
73545004324015
oct610755315340
9161121610113
1052742691552
1120405968891
12a27b506b40
134c87053135
1427a4ab770c
15158a55e26c
hexc47b59ae0

52742691552 has 96 divisors (see below), whose sum is σ = 140735411712. Its totient is φ = 17291971584.

The previous prime is 52742691541. The next prime is 52742691583. The reversal of 52742691552 is 25519624725.

52742691552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2561683 + ... + 2582189.

It is an arithmetic number, because the mean of its divisors is an integer number (1465993872).

Almost surely, 252742691552 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 52742691552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70367705856).

52742691552 is an abundant number, since it is smaller than the sum of its proper divisors (87992720160).

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

52742691552 is a wasteful number, since it uses less digits than its factorization.

52742691552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20960 (or 20952 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The spelling of 52742691552 in words is "fifty-two billion, seven hundred forty-two million, six hundred ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 367 438 584 734 876 1101 1168 1468 1752 2202 2336 2936 3504 4404 5872 7008 8808 11744 17616 20507 26791 35232 41014 53582 61521 80373 82028 107164 123042 160746 164056 214328 246084 321492 328112 428656 492168 642984 656224 857312 984336 1285968 1497011 1968672 2571936 2994022 4491033 5988044 7526069 8982066 11976088 15052138 17964132 22578207 23952176 30104276 35928264 45156414 47904352 60208552 71856528 90312828 120417104 143713056 180625656 240834208 361251312 549403037 722502624 1098806074 1648209111 2197612148 3296418222 4395224296 6592836444 8790448592 13185672888 17580897184 26371345776 52742691552