Search a number
-
+
33689502640416 = 253750133188453
BaseRepresentation
bin1111010100011111100101…
…10101100110100100100000
311102021200111100211022110110
413222033302311212210200
513403432100133443131
6155352424401131320
710044662165366040
oct752176265464440
9142250440738413
1033689502640416
11a809701a58837
123941302329b40
1315a4ba267c5bc
1484681b359720
153d651bc21646
hex1ea3f2d66920

33689502640416 has 48 divisors (see below), whose sum is σ = 101068507923264. Its totient is φ = 9625572182784.

The previous prime is 33689502640397. The next prime is 33689502640543. The reversal of 33689502640416 is 61404620598633.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×336895026404162 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25066593555 + ... + 25066594898.

It is an arithmetic number, because the mean of its divisors is an integer number (2105593915068).

Almost surely, 233689502640416 is an apocalyptic number.

It is an amenable number.

33689502640416 is an abundant number, since it is smaller than the sum of its proper divisors (67379005282848).

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

33689502640416 is a wasteful number, since it uses less digits than its factorization.

33689502640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50133188473 (or 50133188465 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 33689502640416 in words is "thirty-three trillion, six hundred eighty-nine billion, five hundred two million, six hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 50133188453 100266376906 150399565359 200532753812 300799130718 350932319171 401065507624 601598261436 701864638342 802131015248 1052796957513 1203196522872 1403729276684 1604262030496 2105593915026 2406393045744 2807458553368 4211187830052 4812786091488 5614917106736 8422375660104 11229834213472 16844751320208 33689502640416