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1024870232464 = 241337133169209
BaseRepresentation
bin11101110100111110000…
…01101011000110010000
310121222100222011010200221
432322133001223012100
5113242413234414324
62102452513522424
7134021145145261
oct16723701530620
93558328133627
101024870232464
11365710589721
12146762b73414
137584c968320
1437865490968
151b9d4d540e4
hexee9f06b190

1024870232464 has 40 divisors (see below), whose sum is σ = 2196226611320. Its totient is φ = 460232782848.

The previous prime is 1024870232461. The next prime is 1024870232467. The reversal of 1024870232464 is 4642320784201.

It is a happy number.

1024870232464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1024870232461) and next prime (1024870232467).

It can be written as a sum of positive squares in 4 ways, for example, as 61543686400 + 963326546064 = 248080^2 + 981492^2 .

It is a super-2 number, since 2×10248702324642 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1024870232464.

It is not an unprimeable number, because it can be changed into a prime (1024870232461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66576909 + ... + 66592300.

It is an arithmetic number, because the mean of its divisors is an integer number (54905665283).

Almost surely, 21024870232464 is an apocalyptic number.

It is an amenable number.

1024870232464 is an abundant number, since it is smaller than the sum of its proper divisors (1171356378856).

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

1024870232464 is a wasteful number, since it uses less digits than its factorization.

1024870232464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133169267 (or 133169261 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 1024870232464 in words is "one trillion, twenty-four billion, eight hundred seventy million, two hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 133169209 266338418 532676836 1065353672 1731199717 2130707344 3462399434 4927260733 6924798868 9854521466 13849597736 19709042932 27699195472 39418085864 64054389529 78836171728 128108779058 256217558116 512435116232 1024870232464