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248952314145640 = 23572127016486809
BaseRepresentation
bin111000100110101110111010…
…010000000010101101101000
31012122110121102211000111122011
4320212232322100002231220
5230112313314410130030
62241251040403005304
7103303132265152300
oct7046567220025550
91178417384014564
10248952314145640
11723620a1186356
1223b08762369834
13a8bb144232251
1445694db966600
151dbac4ad5ab2a
hexe26bba402b68

248952314145640 has 48 divisors (see below), whose sum is σ = 651594577335300. Its totient is φ = 85355079134976.

The previous prime is 248952314145631. The next prime is 248952314145643. The reversal of 248952314145640 is 46541413259842.

It can be written as a sum of positive squares in 2 ways, for example, as 241244949971844 + 7707364173796 = 15532062^2 + 2776214^2 .

It is not an unprimeable number, because it can be changed into a prime (248952314145643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63508241445 + ... + 63508245364.

Almost surely, 2248952314145640 is an apocalyptic number.

248952314145640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248952314145640 is an abundant number, since it is smaller than the sum of its proper divisors (402642263189660).

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

248952314145640 is a wasteful number, since it uses less digits than its factorization.

248952314145640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127016486834 (or 127016486823 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 58.

The spelling of 248952314145640 in words is "two hundred forty-eight trillion, nine hundred fifty-two billion, three hundred fourteen million, one hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 127016486809 254032973618 508065947236 635082434045 889115407663 1016131894472 1270164868090 1778230815326 2540329736180 3556461630652 4445577038315 5080659472360 6223807853641 7112923261304 8891154076630 12447615707282 17782308153260 24895231414564 31119039268205 35564616306520 49790462829128 62238078536410 124476157072820 248952314145640