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5356405020 = 22351077391129
BaseRepresentation
bin1001111110100010…
…00100000100011100
3111211022000120100010
410333101010010130
541432214430040
62243302203220
7246510456111
oct47721040434
914738016303
105356405020
1122a960740a
121055a23510
13674948235
1438b558908
152153a7e80
hex13f44411c

5356405020 has 96 divisors (see below), whose sum is σ = 15172012800. Its totient is φ = 1411858944.

The previous prime is 5356404983. The next prime is 5356405063. The reversal of 5356405020 is 205046535.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4743816 + ... + 4744944.

It is an arithmetic number, because the mean of its divisors is an integer number (158041800).

Almost surely, 25356405020 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 5356405020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586006400).

5356405020 is an abundant number, since it is smaller than the sum of its proper divisors (9815607780).

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

5356405020 is a wasteful number, since it uses less digits than its factorization.

5356405020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 5356405020 is about 73187.4649103246. The cubic root of 5356405020 is about 1749.6766771386.

The spelling of 5356405020 in words is "five billion, three hundred fifty-six million, four hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 739 1070 1129 1284 1478 1605 2140 2217 2258 2956 3210 3387 3695 4434 4516 5645 6420 6774 7390 8868 11085 11290 13548 14780 16935 22170 22580 33870 44340 67740 79073 120803 158146 237219 241606 316292 362409 395365 474438 483212 604015 724818 790730 834331 948876 1186095 1208030 1449636 1581460 1668662 1812045 2372190 2416060 2502993 3337324 3624090 4171655 4744380 5005986 7248180 8343310 10011972 12514965 16686620 25029930 50059860 89273417 178546834 267820251 357093668 446367085 535640502 892734170 1071281004 1339101255 1785468340 2678202510 5356405020