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7162121000090 = 2579713133723893
BaseRepresentation
bin110100000111000111110…
…1011011001010010011010
3221100200200112020002112002
41220032033223121102122
51414321010434000330
623122122153121002
71336306015013150
oct150161753312232
927320615202462
107162121000090
112311490652241
129780979b9162
133cc501126794
141aa9117013d0
15c64834a0e45
hex6838fad949a

7162121000090 has 128 divisors (see below), whose sum is σ = 15044163982848. Its totient is φ = 2404460298240.

The previous prime is 7162121000087. The next prime is 7162121000101. The reversal of 7162121000090 is 900001212617.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299746184 + ... + 299770076.

It is an arithmetic number, because the mean of its divisors is an integer number (117532531116).

Almost surely, 27162121000090 is an apocalyptic number.

7162121000090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7162121000090 is an abundant number, since it is smaller than the sum of its proper divisors (7882042982758).

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

7162121000090 is a wasteful number, since it uses less digits than its factorization.

7162121000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24472.

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 7162121000090 in words is "seven trillion, one hundred sixty-two billion, one hundred twenty-one million, ninety", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 70 97 131 194 262 337 485 655 674 679 917 970 1310 1358 1685 1834 2359 3370 3395 4585 4718 6790 9170 11795 12707 23590 23893 25414 32689 44147 47786 63535 65378 88294 88949 119465 127070 163445 167251 177898 220735 228823 238930 309029 326890 334502 441470 444745 457646 618058 836255 889490 1144115 1545145 1672510 2288230 2317621 3090290 3129983 4282259 4635242 6259966 8051941 8564518 11588105 15649915 16103882 16223347 21411295 21909881 23176210 29975813 31299830 32446694 40259705 42822590 43819762 56363587 59951626 80519410 81116735 109549405 112727174 149879065 162233470 219098810 281817935 299758130 303608351 563635870 607216702 781038277 1054804271 1518041755 1562076554 2109608542 2125258457 3036083510 3905191385 4250516914 5274021355 5467267939 7383629897 7810382770 10548042710 10626292285 10934535878 14767259794 21252584570 27336339695 36918149485 54672679390 73836298970 102316014287 204632028574 511580071435 716212100009 1023160142870 1432424200018 3581060500045 7162121000090