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4107699348516 = 2234109210332
BaseRepresentation
bin111011110001100101111…
…101011110010000100100
3112112200200122000110210000
4323301211331132100210
51014300032013123031
612423015004501300
7602525422236621
oct73614575362044
915480618013700
104107699348516
11134407a216215
1256412424a830
1323a47b782aaa
14102b56b65348
1571cb61033e6
hex3bc65f5e424

4107699348516 has 135 divisors (see below), whose sum is σ = 10848259870371. Its totient is φ = 1355358013056.

The previous prime is 4107699348443. The next prime is 4107699348521. The reversal of 4107699348516 is 6158439967014.

The square root of 4107699348516 is 2026746.

It is a perfect power (a square), and thus also a powerful number.

4107699348516 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 69 + 93 + 485 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2117636144100 + 1990063204416 = 1455210^2 + 1410696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3976475136 + ... + 3976476168.

Almost surely, 24107699348516 is an apocalyptic number.

4107699348516 is the 2026746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4107699348516

4107699348516 is an abundant number, since it is smaller than the sum of its proper divisors (6740560521855).

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

4107699348516 is an equidigital number, since it uses as much as digits as its factorization.

4107699348516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 4107699348516 in words is "four trillion, one hundred seven billion, six hundred ninety-nine million, three hundred forty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1033 1308 1962 2066 2943 3099 3924 4132 5886 6198 8829 9297 11772 11881 12396 17658 18594 23762 27891 35316 35643 37188 47524 55782 71286 83673 106929 111564 112597 142572 167346 213858 225194 320787 334692 337791 427716 450388 641574 675582 962361 1013373 1067089 1283148 1351164 1924722 2026746 2134178 3040119 3201267 3849444 4053492 4268356 6080238 6402534 9120357 9603801 12160476 12273073 12805068 18240714 19207602 24546146 28811403 36481428 36819219 38415204 49092292 57622806 73638438 86434209 110457657 115245612 116312701 147276876 172868418 220915314 232625402 331372971 345736836 348938103 441830628 465250804 662745942 697876206 994118913 1046814309 1325491884 1395752412 1988237826 2093628618 3140442927 3976475652 4187257236 6280885854 9421328781 12561771708 12678084409 18842657562 25356168818 37685315124 38034253227 50712337636 76068506454 114102759681 152137012908 228205519362 342308279043 456411038724 684616558086 1026924837129 1369233116172 2053849674258 4107699348516