Search a number
-
+
5073626460456 = 233356341721157
BaseRepresentation
bin100100111010100101110…
…1100111111000100101000
3122222000220202021211211000
41021311023230333010220
51131111241333213311
614442443011035000
71032362123230611
oct111651354770450
918860822254730
105073626460456
11168679295aa94
1269b37729ba60
132aa5969248b8
141377c9c78c08
158be9b3be056
hex49d4bb3f128

5073626460456 has 64 divisors (see below), whose sum is σ = 14118439867200. Its totient is φ = 1688204856384.

The previous prime is 5073626460449. The next prime is 5073626460467. The reversal of 5073626460456 is 6540646263705.

5073626460456 is a `hidden beast` number, since 5 + 0 + 7 + 3 + 6 + 26 + 4 + 604 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 20738971 + ... + 20982186.

It is an arithmetic number, because the mean of its divisors is an integer number (220600622925).

Almost surely, 25073626460456 is an apocalyptic number.

It is an amenable number.

5073626460456 is an abundant number, since it is smaller than the sum of its proper divisors (9044813406744).

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

5073626460456 is a wasteful number, since it uses less digits than its factorization.

5073626460456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41721735 (or 41721725 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 5073626460456 in words is "five trillion, seventy-three billion, six hundred twenty-six million, four hundred sixty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 563 1126 1689 2252 3378 4504 5067 6756 10134 13512 15201 20268 30402 40536 60804 121608 41721157 83442314 125163471 166884628 250326942 333769256 375490413 500653884 750980826 1001307768 1126471239 1501961652 2252942478 3003923304 4505884956 9011769912 23489011391 46978022782 70467034173 93956045564 140934068346 187912091128 211401102519 281868136692 422802205038 563736273384 634203307557 845604410076 1268406615114 1691208820152 2536813230228 5073626460456