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2134167931784 = 237833171448449
BaseRepresentation
bin11111000011100110010…
…100100100101110001000
321120000122211110222010202
4133003212110210232020
5234431233442304114
64312231225231332
7310121446052030
oct37034624445610
97500584428122
102134167931784
11753106183839
122a5748632548
13126335a97415
14754197048c0
153a7abbd8cde
hex1f0e6524b88

2134167931784 has 64 divisors (see below), whose sum is σ = 4642919568000. Its totient is φ = 900772429824.

The previous prime is 2134167931783. The next prime is 2134167931787. The reversal of 2134167931784 is 4871397614312.

It is a super-2 number, since 2×21341679317842 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (2134167931783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749192 + ... + 2197640.

It is an arithmetic number, because the mean of its divisors is an integer number (72545618250).

Almost surely, 22134167931784 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 2134167931784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321459784000).

2134167931784 is an abundant number, since it is smaller than the sum of its proper divisors (2508751636216).

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

2134167931784 is a wasteful number, since it uses less digits than its factorization.

2134167931784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448862 (or 1448858 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 56.

The spelling of 2134167931784 in words is "two trillion, one hundred thirty-four billion, one hundred sixty-seven million, nine hundred thirty-one thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 83 166 317 332 581 634 664 1162 1268 2219 2324 2536 4438 4648 8876 17752 26311 52622 105244 184177 210488 368354 736708 1448449 1473416 2896898 5793796 10139143 11587592 20278286 40556572 81113144 120221267 240442534 459158333 480885068 841548869 918316666 961770136 1683097738 1836633332 3214108331 3366195476 3673266664 6428216662 6732390952 12856433324 25712866648 38110141639 76220283278 152440566556 266770991473 304881133112 533541982946 1067083965892 2134167931784