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252202653380 = 225291259345379
BaseRepresentation
bin1110101011100001110…
…0110001011011000100
3220002222102210020112002
43222320130301123010
513113002334402010
6311505454044432
724135550116506
oct3527034613304
9802872706462
10252202653380
1197a5a906347
1240a661a9718
131aa2350c1a2
14c2c717dd76
1568613ac1a5
hex3ab87316c4

252202653380 has 48 divisors (see below), whose sum is σ = 548325288000. Its totient is φ = 97324757376.

The previous prime is 252202653371. The next prime is 252202653407. The reversal of 252202653380 is 83356202252.

252202653380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 557531 + ... + 902909.

It is an arithmetic number, because the mean of its divisors is an integer number (11423443500).

Almost surely, 2252202653380 is an apocalyptic number.

252202653380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252202653380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274162644000).

252202653380 is an abundant number, since it is smaller than the sum of its proper divisors (296122634620).

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

252202653380 is a wasteful number, since it uses less digits than its factorization.

252202653380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346676 (or 346674 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 252202653380 in words is "two hundred fifty-two billion, two hundred two million, six hundred fifty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1259 2518 5036 6295 12590 25180 36511 73022 146044 182555 345379 365110 690758 730220 1381516 1726895 3453790 6907580 10015991 20031982 40063964 50079955 100159910 200319820 434832161 869664322 1739328644 2174160805 4348321610 8696643220 12610132669 25220265338 50440530676 63050663345 126101326690 252202653380