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69849049104 = 24324171166631
BaseRepresentation
bin100000100001101010…
…0111110100000010000
320200021220022100011200
41001003110332200100
52121022324032404
652031015311200
75021632056402
oct1010324764020
9220256270150
1069849049104
1127693a7046a
121165437b500
1367820a49b3
143548960b72
151c3c244839
hex104353e810

69849049104 has 120 divisors (see below), whose sum is σ = 203069752704. Its totient is φ = 22395072000.

The previous prime is 69849049103. The next prime is 69849049121. The reversal of 69849049104 is 40194094896.

It is a happy number.

69849049104 is a `hidden beast` number, since 6 + 9 + 8 + 490 + 49 + 104 = 666.

It is not an unprimeable number, because it can be changed into a prime (69849049103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335869 + ... + 502499.

Almost surely, 269849049104 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 69849049104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101534876352).

69849049104 is an abundant number, since it is smaller than the sum of its proper divisors (133220703600).

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

69849049104 is a wasteful number, since it uses less digits than its factorization.

69849049104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166757 (or 166748 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 69849049104 in words is "sixty-nine billion, eight hundred forty-nine million, forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 71 72 82 123 142 144 164 213 246 284 328 369 426 492 568 639 656 738 852 984 1136 1278 1476 1704 1968 2556 2911 2952 3408 5112 5822 5904 8733 10224 11644 17466 23288 26199 34932 46576 52398 69864 104796 139728 166631 209592 333262 419184 499893 666524 999786 1333048 1499679 1999572 2666096 2999358 3999144 5998716 6831871 7998288 11830801 11997432 13663742 20495613 23661602 23994864 27327484 35492403 40991226 47323204 54654968 61486839 70984806 81982452 94646408 106477209 109309936 122973678 141969612 163964904 189292816 212954418 245947356 283939224 327929808 425908836 485062841 491894712 567878448 851817672 970125682 983789424 1455188523 1703635344 1940251364 2910377046 3880502728 4365565569 5820754092 7761005456 8731131138 11641508184 17462262276 23283016368 34924524552 69849049104