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49949294994 = 23223139883983
BaseRepresentation
bin101110100001001101…
…011100000110010010
311202221001102002102200
4232201031130012102
51304244004414434
634540230424030
73415535000514
oct564115340622
9152831362380
1049949294994
111a202090695
12981bb02016
1349303c8771
1425bbad1bb4
1514751cb199
hexba135c192

49949294994 has 96 divisors (see below), whose sum is σ = 113985930240. Its totient is φ = 15777314784.

The previous prime is 49949294977. The next prime is 49949294999.

49949294994 is a `hidden beast` number, since 4 + 9 + 9 + 492 + 9 + 49 + 94 = 666.

49949294994 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (49949294999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50812627 + ... + 50813609.

It is an arithmetic number, because the mean of its divisors is an integer number (1187353440).

Almost surely, 249949294994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49949294994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56992965120).

49949294994 is an abundant number, since it is smaller than the sum of its proper divisors (64036635246).

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

49949294994 is a wasteful number, since it uses less digits than its factorization.

49949294994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2033 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 72.

The spelling of 49949294994 in words is "forty-nine billion, nine hundred forty-nine million, two hundred ninety-four thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 139 207 278 414 417 834 883 983 1251 1766 1966 2502 2649 2949 3197 5298 5898 6394 7947 8847 9591 15894 17694 19182 20309 22609 28773 40618 45218 57546 60927 67827 121854 122737 135654 136637 182781 203481 245474 273274 365562 368211 406962 409911 736422 819822 867989 1104633 1229733 1735978 2209266 2459466 2603967 2822951 3142651 5207934 5645902 6285302 7811901 8468853 9427953 15623802 16937706 18855906 19963747 25406559 28283859 39927494 50813118 56567718 59891241 119782482 120650471 179673723 241300942 359347446 361951413 723902826 1085854239 2171708478 2774960833 5549921666 8324882499 16649764998 24974647497 49949294994