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4252722057252 = 22323133166117417
BaseRepresentation
bin111101111000101001111…
…111001101000000100100
3120001120000111211101121200
4331320221333031000210
51024134033321313002
613013401252442500
7616151263023624
oct75705177150044
916046014741550
104252722057252
11139a629807809
12588258019430
1324b050ac4996
14109b93486884
1575952c64b1c
hex3de29fcd024

4252722057252 has 144 divisors (see below), whose sum is σ = 11147711737344. Its totient is φ = 1365553728000.

The previous prime is 4252722057239. The next prime is 4252722057341. The reversal of 4252722057252 is 2527502272524.

4252722057252 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 7 + 2 + 20 + 572 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4252722057198 and 4252722057207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244162048 + ... + 244179464.

Almost surely, 24252722057252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4252722057252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573855868672).

4252722057252 is an abundant number, since it is smaller than the sum of its proper divisors (6894989680092).

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

4252722057252 is a wasteful number, since it uses less digits than its factorization.

4252722057252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18450 (or 18445 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 4252722057252 in words is "four trillion, two hundred fifty-two billion, seven hundred twenty-two million, fifty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 331 372 558 661 662 993 1116 1322 1324 1983 1986 2644 2979 3966 3972 5949 5958 7932 10261 11898 11916 17417 20491 20522 23796 30783 34834 40982 41044 52251 61473 61566 69668 81964 92349 104502 122946 123132 156753 184419 184698 209004 218791 245892 313506 368838 369396 437582 539927 627012 656373 737676 875164 1079854 1312746 1619781 1969119 2159708 2625492 3239562 3938238 4859343 5765027 6479124 6782521 7876476 9718686 11512637 11530054 13565042 17295081 19437372 20347563 23025274 23060108 27130084 34537911 34590162 40695126 46050548 51885243 61042689 69075822 69180324 81390252 103613733 103770486 122085378 138151644 178715837 207227466 207540972 244170756 356891747 357431674 414454932 536147511 713783494 714863348 1070675241 1072295022 1427566988 1608442533 2141350482 2144590044 3212025723 3216885066 3810682847 4282700964 6424051446 6433770132 7621365694 11432048541 12848102892 15242731388 22864097082 34296145623 45728194164 68592291246 118131168257 137184582492 236262336514 354393504771 472524673028 708787009542 1063180514313 1417574019084 2126361028626 4252722057252