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1014068153672 = 2371929269122173
BaseRepresentation
bin11101100000110110010…
…11000000110101001000
310120221111011010200022122
432300123023000311020
5113103302421404142
62053504555510412
7133156361041220
oct16603313006510
93527434120278
101014068153672
11361078043a82
12144649458408
137481aa4aa22
143711c9c1080
151b5a185d1d2
hexec1b2c0d48

1014068153672 has 128 divisors (see below), whose sum is σ = 2375062560000. Its totient is φ = 396048393216.

The previous prime is 1014068153663. The next prime is 1014068153699. The reversal of 1014068153672 is 2763518604101.

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 31 ways as a sum of consecutive naturals, for example, 8239178 + ... + 8361350.

It is an arithmetic number, because the mean of its divisors is an integer number (18555176250).

Almost surely, 21014068153672 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 1014068153672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187531280000).

1014068153672 is an abundant number, since it is smaller than the sum of its proper divisors (1360994406328).

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

1014068153672 is a wasteful number, since it uses less digits than its factorization.

1014068153672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122503 (or 122499 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 1014068153672 in words is "one trillion, fourteen billion, sixty-eight million, one hundred fifty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 269 406 532 538 551 812 1064 1076 1102 1624 1883 2152 2204 3766 3857 4408 5111 7532 7714 7801 10222 15064 15428 15602 20444 30856 31204 35777 40888 54607 62408 71554 109214 122173 143108 148219 218428 244346 286216 296438 436856 488692 592876 855211 977384 1037533 1185752 1710422 2075066 2321287 3420844 3543017 4150132 4642574 6841688 7086034 8300264 9285148 14172068 16249009 18570296 24801119 28344136 32498018 32864537 49602238 64996036 65729074 67317323 99204476 129992072 131458148 134634646 198408952 230051759 262916296 269269292 460103518 471221261 538538584 624426203 920207036 942442522 953071573 1248852406 1840414072 1884885044 1906143146 2497704812 3769770088 3812286292 4370983421 4995409624 6671501011 7624572584 8741966842 13343002022 17483933684 18108359887 26686004044 34967867368 36216719774 53372008088 72433439548 126758519209 144866879096 253517038418 507034076836 1014068153672