Search a number
-
+
5035345345152 = 273230011456501
BaseRepresentation
bin100100101000110000111…
…1110000111101010000000
3122211101002212121200211200
41021101201332013222000
51124444341402021102
614413112233541200
71026535360144503
oct111214176075200
918741085550750
105035345345152
1116715291a3511
12693a72b74800
132a6aa5a01495
141359d7aab13a
158aeaa76b51c
hex49461f87a80

5035345345152 has 96 divisors (see below), whose sum is σ = 14494568998260. Its totient is φ = 1677888000000.

The previous prime is 5035345345139. The next prime is 5035345345157. The reversal of 5035345345152 is 2515435435305.

5035345345152 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 3 + 453 + 45 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4740652708416 + 294692636736 = 2177304^2 + 542856^2 .

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

It is a super-3 number, since 3×50353453451523 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5035345345098 and 5035345345107.

It is not an unprimeable number, because it can be changed into a prime (5035345345157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2728902 + ... + 4185402.

Almost surely, 25035345345152 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 5035345345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247284499130).

5035345345152 is an abundant number, since it is smaller than the sum of its proper divisors (9459223653108).

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

5035345345152 is a wasteful number, since it uses less digits than its factorization.

5035345345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459522 (or 1459507 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 5035345345152 in words is "five trillion, thirty-five billion, three hundred forty-five million, three hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3001 6002 9003 12004 18006 24008 27009 36012 48016 54018 72024 96032 108036 144048 192064 216072 288096 384128 432144 576192 864288 1152384 1456501 1728576 2913002 3457152 4369503 5826004 8739006 11652008 13108509 17478012 23304016 26217018 34956024 46608032 52434036 69912048 93216064 104868072 139824096 186432128 209736144 279648192 419472288 559296384 838944576 1677889152 4370959501 8741919002 13112878503 17483838004 26225757006 34967676008 39338635509 52451514012 69935352016 78677271018 104903028024 139870704032 157354542036 209806056048 279741408064 314709084072 419612112096 559482816128 629418168144 839224224192 1258836336288 1678448448384 2517672672576 5035345345152