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3013102976 = 27137922921
BaseRepresentation
bin1011001110011000…
…0100110110000000
321202222200111020112
42303212010312000
522132323243401
61214553130452
7134444644532
oct26346046600
97688614215
103013102976
1113068aa954
127010b9a28
13390321590
14208257852
151297d13bb
hexb3984d80

3013102976 has 64 divisors (see below), whose sum is σ = 6546523200. Its totient is φ = 1372999680.

The previous prime is 3013102957. The next prime is 3013103021. The reversal of 3013102976 is 6792013103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 119996 + ... + 142916.

It is an arithmetic number, because the mean of its divisors is an integer number (102289425).

Almost surely, 23013102976 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 3013102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273261600).

3013102976 is an abundant number, since it is smaller than the sum of its proper divisors (3533420224).

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

3013102976 is a wasteful number, since it uses less digits than its factorization.

3013102976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23027 (or 23015 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 3013102976 is about 54891.7386862541. The cubic root of 3013102976 is about 1444.3462719831.

The spelling of 3013102976 in words is "three billion, thirteen million, one hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 316 416 632 832 1027 1264 1664 2054 2528 4108 5056 8216 10112 16432 22921 32864 45842 65728 91684 131456 183368 297973 366736 595946 733472 1191892 1466944 1810759 2383784 2933888 3621518 4767568 7243036 9535136 14486072 19070272 23539867 28972144 38140544 47079734 57944288 94159468 115888576 188318936 231777152 376637872 753275744 1506551488 3013102976