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34677129216 = 2163199283
BaseRepresentation
bin100000010010111010…
…110000000000000000
310022111201010200111010
4200102322300000000
51032004321113331
623532551120520
72335221510042
oct402272600000
9108451120433
1034677129216
1113785376484
126879373140
133368378b92
14196d6a1a92
15d7e554e46
hex812eb0000

34677129216 has 136 divisors (see below), whose sum is σ = 97349053120. Its totient is φ = 10949492736.

The previous prime is 34677129211. The next prime is 34677129247. The reversal of 34677129216 is 61292177643.

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

It is not an unprimeable number, because it can be changed into a prime (34677129211) 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, 3730911 + ... + 3740193.

Almost surely, 234677129216 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 34677129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48674526560).

34677129216 is an abundant number, since it is smaller than the sum of its proper divisors (62671923904).

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

34677129216 is an frugal number, since it uses more digits than its factorization.

34677129216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337 (or 9307 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The spelling of 34677129216 in words is "thirty-four billion, six hundred seventy-seven million, one hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4096 4864 6144 7296 8192 9283 9728 12288 14592 16384 18566 19456 24576 27849 29184 32768 37132 38912 49152 55698 58368 65536 74264 77824 98304 111396 116736 148528 155648 176377 196608 222792 233472 297056 311296 352754 445584 466944 529131 594112 622592 705508 891168 933888 1058262 1188224 1245184 1411016 1782336 1867776 2116524 2376448 2822032 3564672 3735552 4233048 4752896 5644064 7129344 8466096 9505792 11288128 14258688 16932192 19011584 22576256 28517376 33864384 38023168 45152512 57034752 67728768 76046336 90305024 114069504 135457536 152092672 180610048 228139008 270915072 304185344 361220096 456278016 541830144 608370688 722440192 912556032 1083660288 1444880384 1825112064 2167320576 2889760768 4334641152 5779521536 8669282304 11559043072 17338564608 34677129216