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2590868680952 = 231779241145633
BaseRepresentation
bin100101101100111011110…
…011101011000011111000
3100011200111002111211120112
4211230323303223003320
5314422044340242302
65302121215243452
7355120066265456
oct45547363530370
910150432454515
102590868680952
11909865910212
1235a164819588
1315a4194835c6
148d5820d79d6
15475db37e552
hex25b3bceb0f8

2590868680952 has 32 divisors (see below), whose sum is σ = 5208745694400. Its totient is φ = 1203798994944.

The previous prime is 2590868680921. The next prime is 2590868680997.

2590868680952 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120562073 + ... + 120583560.

It is an arithmetic number, because the mean of its divisors is an integer number (162773302950).

Almost surely, 22590868680952 is an apocalyptic number.

It is an amenable number.

2590868680952 is an abundant number, since it is smaller than the sum of its proper divisors (2617877013448).

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

2590868680952 is a wasteful number, since it uses less digits than its factorization.

2590868680952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241145735 (or 241145731 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 68.

The spelling of 2590868680952 in words is "two trillion, five hundred ninety billion, eight hundred sixty-eight million, six hundred eighty thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 17 34 68 79 136 158 316 632 1343 2686 5372 10744 241145633 482291266 964582532 1929165064 4099475761 8198951522 16397903044 19050505007 32795806088 38101010014 76202020028 152404040056 323858585119 647717170238 1295434340476 2590868680952