Search a number
-
+
6662415072 = 253717912373
BaseRepresentation
bin1100011010001110…
…00110001011100000
3122012022111202022210
412031013012023200
5102121034240242
63021034402120
7324046410435
oct61507061340
918168452283
106662415072
11290983a065
12135b290340
138223a8951
14472ba1b8c
1528ed83d9c
hex18d1c62e0

6662415072 has 96 divisors (see below), whose sum is σ = 17961108480. Its totient is φ = 2161635840.

The previous prime is 6662415061. The next prime is 6662415091. The reversal of 6662415072 is 2705142666.

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

It is a super-2 number, since 2×66624150722 = 88775549183225530368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6662415072.

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, 532278 + ... + 544650.

It is an arithmetic number, because the mean of its divisors is an integer number (187094880).

Almost surely, 26662415072 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 6662415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980554240).

6662415072 is an abundant number, since it is smaller than the sum of its proper divisors (11298693408).

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

6662415072 is a wasteful number, since it uses less digits than its factorization.

6662415072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 6662415072 is about 81623.6183466526. The cubic root of 6662415072 is about 1881.6718823047.

The spelling of 6662415072 in words is "six billion, six hundred sixty-two million, four hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 79 96 142 158 213 237 284 316 426 474 568 632 852 948 1136 1264 1704 1896 2272 2528 3408 3792 5609 6816 7584 11218 12373 16827 22436 24746 33654 37119 44872 49492 67308 74238 89744 98984 134616 148476 179488 197968 269232 296952 395936 538464 593904 878483 977467 1187808 1756966 1954934 2635449 2932401 3513932 3909868 5270898 5864802 7027864 7819736 10541796 11729604 14055728 15639472 21083592 23459208 28111456 31278944 42167184 46918416 69400157 84334368 93836832 138800314 208200471 277600628 416400942 555201256 832801884 1110402512 1665603768 2220805024 3331207536 6662415072