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7412030076 = 22311297192693
BaseRepresentation
bin1101110011100101…
…01001101001111100
3201010120001010210110
412321302221221330
5110134434430301
63223253310020
7351451134063
oct67162515174
921116033713
107412030076
1131639969a0
12152a335310
1391179a119
145045731da
152d5aa70d6
hex1b9ca9a7c

7412030076 has 96 divisors (see below), whose sum is σ = 19551974400. Its totient is φ = 2164798720.

The previous prime is 7412030053. The next prime is 7412030113. The reversal of 7412030076 is 6700302147.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2750986 + ... + 2753678.

It is an arithmetic number, because the mean of its divisors is an integer number (203666400).

Almost surely, 27412030076 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 7412030076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775987200).

7412030076 is an abundant number, since it is smaller than the sum of its proper divisors (12139944324).

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

7412030076 is a wasteful number, since it uses less digits than its factorization.

7412030076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 7412030076 is about 86093.1476715772. The cubic root of 7412030076 is about 1949.7505774339.

It can be divided in two parts, 74120 and 30076, that added together give a triangular number (104196 = T456).

The spelling of 7412030076 in words is "seven billion, four hundred twelve million, thirty thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 719 957 1276 1438 1914 2157 2693 2876 3828 4314 5386 7909 8079 8628 10772 15818 16158 20851 23727 29623 31636 32316 41702 47454 59246 62553 78097 83404 88869 94908 118492 125106 156194 177738 229361 234291 250212 312388 355476 458722 468582 688083 859067 917444 937164 1376166 1718134 1936267 2577201 2752332 3436268 3872534 5154402 5808801 7745068 10308804 11617602 21298937 23235204 42597874 56151743 63896811 85195748 112303486 127793622 168455229 224606972 255587244 336910458 617669173 673820916 1235338346 1853007519 2470676692 3706015038 7412030076