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2252463674000 = 24536118462817
BaseRepresentation
bin100000110001110001010…
…011000001001010010000
321222100000001210022110112
4200301301103001022100
5243401021200032000
64442433441420452
7321510102216611
oct40616123011220
97870001708415
102252463674000
117992a0027851
1230466163a728
13134538b74217
147b03c577c08
153d8d2249235
hex20c714c1290

2252463674000 has 80 divisors (see below), whose sum is σ = 5535743646576. Its totient is φ = 886215168000.

The previous prime is 2252463673973. The next prime is 2252463674093. The reversal of 2252463674000 is 4763642522.

It can be written as a sum of positive squares in 8 ways, for example, as 831189596416 + 1421274077584 = 911696^2 + 1192172^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9109409 + ... + 9353408.

Almost surely, 22252463674000 is an apocalyptic number.

2252463674000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252463674000 is an abundant number, since it is smaller than the sum of its proper divisors (3283279972576).

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

2252463674000 is a wasteful number, since it uses less digits than its factorization.

2252463674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18462901 (or 18462885 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 41.

Adding to 2252463674000 its sum of digits (41), we get a square (2252463674041 = 15008212).

The spelling of 2252463674000 in words is "two trillion, two hundred fifty-two billion, four hundred sixty-three million, six hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 12200 15250 24400 30500 61000 122000 18462817 36925634 73851268 92314085 147702536 184628170 295405072 369256340 461570425 738512680 923140850 1126231837 1477025360 1846281700 2252463674 2307852125 3692563400 4504927348 4615704250 5631159185 7385126800 9009854696 9231408500 11262318370 18019709392 18462817000 22524636740 28155795925 36925634000 45049273480 56311591850 90098546960 112623183700 140778979625 225246367400 281557959250 450492734800 563115918500 1126231837000 2252463674000