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29134961472 = 2633133671321
BaseRepresentation
bin11011001000100101…
…000011101101000000
32210012110120101121010
4123020211003231000
5434132022231342
621215011200520
72050664041431
oct331045035500
983173511533
1029134961472
11113a0a20861
1257912a6140
1329940bca96
1415a55cd488
15b57c0629c
hex6c8943b40

29134961472 has 112 divisors (see below), whose sum is σ = 77601949952. Its totient is φ = 9646940160.

The previous prime is 29134961461. The next prime is 29134961491. The reversal of 29134961472 is 27416943192.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (653184) is a multiple of the sum of its prime factors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22054572 + ... + 22055892.

Almost surely, 229134961472 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 29134961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38800974976).

29134961472 is an abundant number, since it is smaller than the sum of its proper divisors (48466988480).

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

29134961472 is a wasteful number, since it uses less digits than its factorization.

29134961472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2006 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The spelling of 29134961472 in words is "twenty-nine billion, one hundred thirty-four million, nine hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 313 367 626 734 939 1101 1252 1321 1468 1878 2202 2504 2642 2936 3756 3963 4404 5008 5284 5872 7512 7926 8808 10016 10568 11744 15024 15852 17616 20032 21136 23488 30048 31704 35232 42272 60096 63408 70464 84544 114871 126816 229742 253632 344613 413473 459484 484807 689226 826946 918968 969614 1240419 1378452 1454421 1653892 1837936 1939228 2480838 2756904 2908842 3307784 3675872 3878456 4961676 5513808 5817684 6615568 7351744 7756912 9923352 11027616 11635368 13231136 15513824 19846704 22055232 23270736 26462272 31027648 39693408 46541472 79386816 93082944 151744591 303489182 455233773 606978364 910467546 1213956728 1820935092 2427913456 3641870184 4855826912 7283740368 9711653824 14567480736 29134961472