Search a number
-
+
5201661792 = 253298322511
BaseRepresentation
bin1001101100000101…
…10000111101100000
3111102111211210112110
410312002300331200
541123111134132
62220053355320
7242621252505
oct46602607540
914374753473
105201661792
11222a225548
121012038b40
1364b8783b2
14374b974ac
152069dd1cc
hex1360b0f60

5201661792 has 96 divisors (see below), whose sum is σ = 14296020480. Its totient is φ = 1653854720.

The previous prime is 5201661779. The next prime is 5201661823. The reversal of 5201661792 is 2971661025.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5201661792.

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, 219817 + ... + 242327.

It is an arithmetic number, because the mean of its divisors is an integer number (148916880).

Almost surely, 25201661792 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 5201661792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7148010240).

5201661792 is an abundant number, since it is smaller than the sum of its proper divisors (9094358688).

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

5201661792 is a wasteful number, since it uses less digits than its factorization.

5201661792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22636 (or 22628 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 5201661792 is about 72122.5470432097. The cubic root of 5201661792 is about 1732.6627434893.

The spelling of 5201661792 in words is "five billion, two hundred one million, six hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 83 87 96 116 166 174 232 249 332 348 464 498 664 696 928 996 1328 1392 1992 2407 2656 2784 3984 4814 7221 7968 9628 14442 19256 22511 28884 38512 45022 57768 67533 77024 90044 115536 135066 180088 231072 270132 360176 540264 652819 720352 1080528 1305638 1868413 1958457 2161056 2611276 3736826 3916914 5222552 5605239 7473652 7833828 10445104 11210478 14947304 15667656 20890208 22420956 29894608 31335312 44841912 54183977 59789216 62670624 89683824 108367954 162551931 179367648 216735908 325103862 433471816 650207724 866943632 1300415448 1733887264 2600830896 5201661792