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49827022164 = 223223443135841
BaseRepresentation
bin101110011001111011…
…000000010101010100
311202121112022222122100
4232121323000111110
51304021204202124
634520142002100
73412521462123
oct563173002524
9152545288570
1049827022164
111a14a067267
1297a6b76330
134910c8718a
1425a9783aba
1514695c71c9
hexb99ec0554

49827022164 has 72 divisors (see below), whose sum is σ = 131725444032. Its totient is φ = 15850897920.

The previous prime is 49827022127. The next prime is 49827022183. The reversal of 49827022164 is 46122072894.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298884 + ... + 434724.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520056).

Almost surely, 249827022164 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 49827022164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862722016).

49827022164 is an abundant number, since it is smaller than the sum of its proper divisors (81898421868).

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

49827022164 is a wasteful number, since it uses less digits than its factorization.

49827022164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136317 (or 136312 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 49827022164 in words is "forty-nine billion, eight hundred twenty-seven million, twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 443 828 886 1329 1772 2658 3987 5316 7974 10189 15948 20378 30567 40756 61134 91701 122268 135841 183402 271682 366804 407523 543364 815046 1222569 1630092 2445138 3124343 4890276 6248686 9373029 12497372 18746058 28119087 37492116 56238174 60177563 112476348 120355126 180532689 240710252 361065378 541598067 722130756 1083196134 1384083949 2166392268 2768167898 4152251847 5536335796 8304503694 12456755541 16609007388 24913511082 49827022164