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5071712544 = 2532173727997
BaseRepresentation
bin1001011100100110…
…00011000100100000
3111002110022200200100
410232103003010200
540341324300134
62155132222400
7236452562643
oct45623030440
914073280610
105071712544
112172938778
12b9660aa00
1362a979a52
1436180ba5a
151ea3be999
hex12e4c3120

5071712544 has 144 divisors (see below), whose sum is σ = 15684367608. Its totient is φ = 1548066816.

The previous prime is 5071712539. The next prime is 5071712573. The reversal of 5071712544 is 4452171705.

It can be written as a sum of positive squares in 4 ways, for example, as 4762656144 + 309056400 = 69012^2 + 17580^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5071712499 and 5071712508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167154 + ... + 195150.

Almost surely, 25071712544 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 5071712544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842183804).

5071712544 is an abundant number, since it is smaller than the sum of its proper divisors (10612655064).

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

5071712544 is a wasteful number, since it uses less digits than its factorization.

5071712544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28067 (or 28056 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5071712544 is about 71215.9570882818. The cubic root of 5071712544 is about 1718.1122862873.

The spelling of 5071712544 in words is "five billion, seventy-one million, seven hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 37 48 51 68 72 74 96 102 111 136 144 148 153 204 222 272 288 296 306 333 408 444 544 592 612 629 666 816 888 1184 1224 1258 1332 1632 1776 1887 2448 2516 2664 3552 3774 4896 5032 5328 5661 7548 10064 10656 11322 15096 20128 22644 27997 30192 45288 55994 60384 83991 90576 111988 167982 181152 223976 251973 335964 447952 475949 503946 671928 895904 951898 1007892 1035889 1343856 1427847 1903796 2015784 2071778 2687712 2855694 3107667 3807592 4031568 4143556 4283541 5711388 6215334 7615184 8063136 8287112 8567082 9323001 11422776 12430668 15230368 16574224 17134164 17610113 18646002 22845552 24861336 33148448 34268328 35220226 37292004 45691104 49722672 52830339 68536656 70440452 74584008 99445344 105660678 137073312 140880904 149168016 158491017 211321356 281761808 298336032 316982034 422642712 563523616 633964068 845285424 1267928136 1690570848 2535856272 5071712544