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5019334100 = 225211343877
BaseRepresentation
bin1001010110010110…
…01111010111010100
3110221210202120221222
410223023033113110
540234422142400
62150021425512
7235245431054
oct45313172724
913853676858
105019334100
112146313000
12b80b6b298
1361cb6aba1
14358895564
151e59c5185
hex12b2cf5d4

5019334100 has 144 divisors (see below), whose sum is σ = 12272922816. Its totient is φ = 1780732800.

The previous prime is 5019334087. The next prime is 5019334141. The reversal of 5019334100 is 14339105.

It is a self number, because there is not a number n which added to its sum of digits gives 5019334100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5722862 + ... + 5723738.

Almost surely, 25019334100 is an apocalyptic number.

5019334100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5019334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136461408).

5019334100 is an abundant number, since it is smaller than the sum of its proper divisors (7253588716).

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

5019334100 is a wasteful number, since it uses less digits than its factorization.

5019334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 5019334100 is about 70847.2589448597. The cubic root of 5019334100 is about 1712.1771682642.

The spelling of 5019334100 in words is "five billion, nineteen million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 121 172 215 220 242 275 430 473 484 550 605 860 877 946 1075 1100 1210 1331 1754 1892 2150 2365 2420 2662 3025 3508 4300 4385 4730 5203 5324 6050 6655 8770 9460 9647 10406 11825 12100 13310 17540 19294 20812 21925 23650 26015 26620 33275 37711 38588 43850 47300 48235 52030 57233 66550 75422 87700 96470 104060 106117 114466 130075 133100 150844 188555 192940 212234 228932 241175 260150 286165 377110 414821 424468 482350 520300 530585 572330 754220 829642 942775 964700 1061170 1144660 1167287 1430825 1659284 1885550 2074105 2122340 2334574 2652925 2861650 3771100 4148210 4563031 4669148 5305850 5723300 5836435 8296420 9126062 10370525 10611700 11672870 18252124 20741050 22815155 23345740 29182175 41482100 45630310 50193341 58364350 91260620 100386682 114075775 116728700 200773364 228151550 250966705 456303100 501933410 1003866820 1254833525 2509667050 5019334100