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5106615516 = 2234172413847
BaseRepresentation
bin1001100000110000…
…01100010011011100
3111011212222221120000
410300120030103130
540424243144031
62202420254300
7240355341612
oct46030142334
914155887500
105106615516
112190607902
12ba6241390
13634c7a5b2
143662d56b2
151ed4b63e6
hex13060c4dc

5106615516 has 120 divisors (see below), whose sum is σ = 14197319136. Its totient is φ = 1595013120.

The previous prime is 5106615511. The next prime is 5106615551. The reversal of 5106615516 is 6155166015.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106615511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1325505 + ... + 1329351.

Almost surely, 25106615516 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 5106615516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098659568).

5106615516 is an abundant number, since it is smaller than the sum of its proper divisors (9090703620).

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

5106615516 is a wasteful number, since it uses less digits than its factorization.

5106615516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5106615516 is about 71460.5871512402. The cubic root of 5106615516 is about 1722.0445665844.

The spelling of 5106615516 in words is "five billion, one hundred six million, six hundred fifteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 241 306 324 459 482 612 723 918 964 1377 1446 1836 2169 2754 2892 3847 4097 4338 5508 6507 7694 8194 8676 11541 12291 13014 15388 16388 19521 23082 24582 26028 34623 36873 39042 46164 49164 65399 69246 73746 78084 103869 110619 130798 138492 147492 196197 207738 221238 261596 311607 331857 392394 415476 442476 588591 623214 663714 784788 927127 1177182 1246428 1327428 1765773 1854254 2354364 2781381 3531546 3708508 5297319 5562762 7063092 8344143 10594638 11125524 15761159 16688286 21189276 25032429 31522318 33376572 47283477 50064858 63044636 75097287 94566954 100129716 141850431 150194574 189133908 283700862 300389148 425551293 567401724 851102586 1276653879 1702205172 2553307758 5106615516