Search a number
-
+
4262250522624 = 21131016868571
BaseRepresentation
bin111110000001100001111…
…011011010100000000000
3120002110121120022120211120
4332001201323122200000
51024313042113210444
613022014552512240
7616636353446223
oct76014173324000
916073546276746
104262250522624
1113a3679337886
1258a0770ab680
1324bc0bbb5683
1410a418b435ba
1575d0e52db19
hex3e061eda800

4262250522624 has 96 divisors (see below), whose sum is σ = 11475735354720. Its totient is φ = 1406683136000.

The previous prime is 4262250522601. The next prime is 4262250522641.

4262250522624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42622505226242 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2813742 + ... + 4054829.

It is an arithmetic number, because the mean of its divisors is an integer number (119538909945).

Almost surely, 24262250522624 is an apocalyptic number.

It is an amenable number.

4262250522624 is an abundant number, since it is smaller than the sum of its proper divisors (7213484832096).

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

4262250522624 is a wasteful number, since it uses less digits than its factorization.

4262250522624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868697 (or 6868677 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 4262250 and 522624, that added together give a palindrome (4784874).

The spelling of 4262250522624 in words is "four trillion, two hundred sixty-two billion, two hundred fifty million, five hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 512 606 768 808 1024 1212 1536 1616 2048 2424 3072 3232 4848 6144 6464 9696 12928 19392 25856 38784 51712 77568 103424 155136 206848 310272 620544 6868571 13737142 20605713 27474284 41211426 54948568 82422852 109897136 164845704 219794272 329691408 439588544 659382816 693725671 879177088 1318765632 1387451342 1758354176 2081177013 2637531264 2774902684 3516708352 4162354026 5275062528 5549805368 7033416704 8324708052 10550125056 11099610736 14066833408 16649416104 21100250112 22199221472 33298832208 42200500224 44398442944 66597664416 88796885888 133195328832 177593771776 266390657664 355187543552 532781315328 710375087104 1065562630656 1420750174208 2131125261312 4262250522624