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3862668808504 = 23115922712172693
BaseRepresentation
bin111000001101011001000…
…000001001000100111000
3111200021020000211100012101
4320031121000021010320
51001241221203333004
612114252513553144
7546032351066452
oct70153100110470
914607200740171
103862668808504
11125a16a92a8a0
1252473bb757b4
1322032c11ba8c
14d4d503452d2
156a72470bba4
hex38359009138

3862668808504 has 128 divisors (see below), whose sum is σ = 8079853420800. Its totient is φ = 1716346839040.

The previous prime is 3862668808501. The next prime is 3862668808543. The reversal of 3862668808504 is 4058088662683.

It is a super-2 number, since 2×38626688085042 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3862668808501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434335382 + ... + 1434338074.

It is an arithmetic number, because the mean of its divisors is an integer number (63123854850).

Almost surely, 23862668808504 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 3862668808504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039926710400).

3862668808504 is an abundant number, since it is smaller than the sum of its proper divisors (4217184612296).

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

3862668808504 is a wasteful number, since it uses less digits than its factorization.

3862668808504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 64.

The spelling of 3862668808504 in words is "three trillion, eight hundred sixty-two billion, six hundred sixty-eight million, eight hundred eight thousand, five hundred four".

Divisors: 1 2 4 8 11 22 44 59 88 118 227 236 454 472 649 908 1217 1298 1816 2434 2497 2596 2693 4868 4994 5192 5386 9736 9988 10772 13387 13393 19976 21544 26774 26786 29623 53548 53572 59246 71803 107096 107144 118492 143606 147323 158887 236984 276259 287212 294646 317774 552518 574424 589292 611311 635548 789833 1105036 1178584 1222622 1271096 1579666 1747757 2210072 2445244 3038849 3159332 3277381 3495514 4890488 6077698 6318664 6554762 6724421 6991028 12155396 13109524 13448842 13982056 16299281 24310792 26219048 26897684 32598562 36051191 36067349 53795368 65197124 72102382 72134698 130394248 144204764 144269396 179292091 193365479 288409528 288538792 358584182 386730958 396740839 717168364 743965487 773461916 793481678 1434336728 1487930974 1546923832 1586963356 2127020269 2975861948 3173926712 4254040538 5951723896 8183620357 8508081076 16367240714 17016162152 32734481428 43893963733 65468962856 87787927466 175575854932 351151709864 482833601063 965667202126 1931334404252 3862668808504