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68329224192 = 211319975569
BaseRepresentation
bin111111101000101111…
…010011100000000000
320112100222111020100010
4333220233103200000
52104414240133232
651220124224520
74636155552105
oct775057234000
9215328436303
1068329224192
1126a8407a519
12112ab39b140
13659c260c08
143442b7aaac
151b9dad10cc
hexfe8bd3800

68329224192 has 96 divisors (see below), whose sum is σ = 182290726800. Its totient is φ = 22760914944.

The previous prime is 68329224179. The next prime is 68329224203. The reversal of 68329224192 is 29142292386.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 7 ways as a sum of consecutive naturals, for example, 12266784 + ... + 12272352.

Almost surely, 268329224192 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 68329224192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91145363400).

68329224192 is an abundant number, since it is smaller than the sum of its proper divisors (113961502608).

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

68329224192 is a wasteful number, since it uses less digits than its factorization.

68329224192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7571 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 68329224192 in words is "sixty-eight billion, three hundred twenty-nine million, two hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1997 2048 3072 3994 5569 5991 6144 7988 11138 11982 15976 16707 22276 23964 31952 33414 44552 47928 63904 66828 89104 95856 127808 133656 178208 191712 255616 267312 356416 383424 511232 534624 712832 766848 1022464 1069248 1425664 1533696 2044928 2138496 2851328 3067392 4089856 4276992 5702656 6134784 8553984 11121293 11405312 12269568 17107968 22242586 33363879 34215936 44485172 66727758 88970344 133455516 177940688 266911032 355881376 533822064 711762752 1067644128 1423525504 2135288256 2847051008 4270576512 5694102016 8541153024 11388204032 17082306048 22776408064 34164612096 68329224192