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34164054210 = 235111310973061
BaseRepresentation
bin11111110100010101…
…100001100011000010
310021011221200202220010
4133310111201203002
51024431444213320
623410022125350
72316421445406
oct376425414302
9107157622803
1034164054210
1113541799650
126755580856
1332b5c966c0
1419214a5106
15d4e4a7ae0
hex7f45618c2

34164054210 has 128 divisors (see below), whose sum is σ = 97213374720. Its totient is φ = 7574860800.

The previous prime is 34164054193. The next prime is 34164054269. The reversal of 34164054210 is 1245046143.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 431080 + ... + 504140.

It is an arithmetic number, because the mean of its divisors is an integer number (759479490).

Almost surely, 234164054210 is an apocalyptic number.

34164054210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34164054210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48606687360).

34164054210 is an abundant number, since it is smaller than the sum of its proper divisors (63049320510).

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

34164054210 is a wasteful number, since it uses less digits than its factorization.

34164054210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73204.

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 34164054210 in words is "thirty-four billion, one hundred sixty-four million, fifty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 109 110 130 143 165 195 218 286 327 330 390 429 545 654 715 858 1090 1199 1417 1430 1635 2145 2398 2834 3270 3597 4251 4290 5995 7085 7194 8502 11990 14170 15587 17985 21255 31174 35970 42510 46761 73061 77935 93522 146122 155870 219183 233805 365305 438366 467610 730610 803671 949793 1095915 1607342 1899586 2191830 2411013 2849379 4018355 4748965 4822026 5698758 7963649 8036710 9497930 10447723 12055065 14246895 15927298 20895446 23890947 24110130 28493790 31343169 39818245 47781894 52238615 62686338 79636490 87600139 103527437 104477230 119454735 156715845 175200278 207054874 238909470 262800417 310582311 313431690 438000695 517637185 525600834 621164622 876001390 1035274370 1138801807 1314002085 1552911555 2277603614 2628004170 3105823110 3416405421 5694009035 6832810842 11388018070 17082027105 34164054210