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29677074944 = 29116078681
BaseRepresentation
bin11011101000111001…
…000011101000000000
32211121020122121110212
4123220321003220000
5441234312344234
621344454413252
72100265655246
oct335071035000
984536577425
1029677074944
1111649a31720
125902961228
132a4c4cb69a
1416175c8796
15b8a5dc5ce
hex6e8e43a00

29677074944 has 80 divisors (see below), whose sum is σ = 64800781056. Its totient is φ = 13465804800.

The previous prime is 29677074943. The next prime is 29677074971. The reversal of 29677074944 is 44947077692.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29677074943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3414284 + ... + 3422964.

Almost surely, 229677074944 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 29677074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400390528).

29677074944 is an abundant number, since it is smaller than the sum of its proper divisors (35123706112).

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

29677074944 is an equidigital number, since it uses as much as digits as its factorization.

29677074944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9317 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 59.

The spelling of 29677074944 in words is "twenty-nine billion, six hundred seventy-seven million, seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 607 704 1214 1408 2428 2816 4856 5632 6677 8681 9712 13354 17362 19424 26708 34724 38848 53416 69448 77696 95491 106832 138896 155392 190982 213664 277792 310784 381964 427328 555584 763928 854656 1111168 1527856 1709312 2222336 3055712 3418624 4444672 5269367 6111424 10538734 12222848 21077468 24445696 42154936 48891392 57963037 84309872 115926074 168619744 231852148 337239488 463704296 674478976 927408592 1348957952 1854817184 2697915904 3709634368 7419268736 14838537472 29677074944