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4152551104 = 2613171372143
BaseRepresentation
bin1111011110000010…
…1110011011000000
3101201101202110020001
43313200232123000
532001023113404
61524015325344
7204622046662
oct36740563300
911641673201
104152551104
111841009119
1297a820854
13512404840
142b5704532
1519485a7a4
hexf782e6c0

4152551104 has 112 divisors (see below), whose sum is σ = 9469087488. Its totient is φ = 1789820928.

The previous prime is 4152551101. The next prime is 4152551129. The reversal of 4152551104 is 4011552514.

4152551104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4152551101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1936657 + ... + 1938799.

It is an arithmetic number, because the mean of its divisors is an integer number (84545424).

Almost surely, 24152551104 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 4152551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734543744).

4152551104 is an abundant number, since it is smaller than the sum of its proper divisors (5316536384).

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

4152551104 is a wasteful number, since it uses less digits than its factorization.

4152551104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 4152551104 is about 64440.2909987222. The cubic root of 4152551104 is about 1607.3297950394.

It can be divided in two parts, 41525 and 51104, that added together give a palindrome (92629).

The spelling of 4152551104 in words is "four billion, one hundred fifty-two million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 137 208 221 272 274 416 442 544 548 832 884 1088 1096 1768 1781 2143 2192 2329 3536 3562 4286 4384 4658 7072 7124 8572 8768 9316 14144 14248 17144 18632 27859 28496 30277 34288 36431 37264 55718 56992 60554 68576 72862 74528 111436 113984 121108 137152 145724 149056 222872 242216 291448 293591 445744 473603 484432 582896 587182 891488 947206 968864 1165792 1174364 1782976 1894412 1937728 2331584 2348728 3788824 3816683 4697456 4991047 7577648 7633366 9394912 9982094 15155296 15266732 18789824 19964188 30310592 30533464 39928376 61066928 64883611 79856752 122133856 129767222 159713504 244267712 259534444 319427008 519068888 1038137776 2076275552 4152551104