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2530462640352 = 25329389962409
BaseRepresentation
bin100100110100101011010…
…100111010100011100000
322221220120021220000211120
4210310223110322203200
5312424341413442402
65214251204212240
7350551136360103
oct44645324724340
98856507800746
102530462640352
11896188211909
1234a50699a080
1315481087b50a
148a69174a73a
1545c531733bc
hex24d2b53a8e0

2530462640352 has 48 divisors (see below), whose sum is σ = 6665135032080. Its totient is φ = 840608740352.

The previous prime is 2530462640341. The next prime is 2530462640371.

2530462640352 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 44953077 + ... + 45009332.

It is an arithmetic number, because the mean of its divisors is an integer number (138856979835).

Almost surely, 22530462640352 is an apocalyptic number.

It is an amenable number.

2530462640352 is an abundant number, since it is smaller than the sum of its proper divisors (4134672391728).

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

2530462640352 is a wasteful number, since it uses less digits than its factorization.

2530462640352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89962715 (or 89962707 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 2530462640352 in words is "two trillion, five hundred thirty billion, four hundred sixty-two million, six hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 586 879 1172 1758 2344 3516 4688 7032 9376 14064 28128 89962409 179924818 269887227 359849636 539774454 719699272 1079548908 1439398544 2159097816 2878797088 4318195632 8636391264 26358985837 52717971674 79076957511 105435943348 158153915022 210871886696 316307830044 421743773392 632615660088 843487546784 1265231320176 2530462640352