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102620808648 = 233219219872
BaseRepresentation
bin101111110010010101…
…1010100010111001000
3100210212211011012211200
41133210223110113020
53140131411334043
6115050544024200
710262016324021
oct1374453242710
9323784135750
10102620808648
113a580853466
1217a7b602060
1398a5789ba7
144d7715bc48
152a0937a7d3
hex17e4ad45c8

102620808648 has 108 divisors (see below), whose sum is σ = 293476914315. Its totient is φ = 32390261856.

The previous prime is 102620808623. The next prime is 102620808757. The reversal of 102620808648 is 846808026201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

102620808648 is a `hidden beast` number, since 10 + 2 + 620 + 8 + 0 + 8 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51310404324 + 51310404324 = 226518^2 + 226518^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=226518.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 51645111 + ... + 51647097.

Almost surely, 2102620808648 is an apocalyptic number.

102620808648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102620808648

102620808648 is an abundant number, since it is smaller than the sum of its proper divisors (190856105667).

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

102620808648 is an equidigital number, since it uses as much as digits as its factorization.

102620808648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 102620808648 in words is "one hundred two billion, six hundred twenty million, eight hundred eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 1987 2166 2888 3249 3974 4332 5961 6498 7948 8664 11922 12996 15896 17883 23844 25992 35766 37753 47688 71532 75506 113259 143064 151012 226518 302024 339777 453036 679554 717307 906072 1359108 1434614 2151921 2718216 2869228 3948169 4303842 5738456 6455763 7896338 8607684 11844507 12911526 15792676 17215368 23689014 25823052 31585352 35533521 47378028 51646104 71067042 75015211 94756056 142134084 150030422 225045633 284268168 300060844 450091266 600121688 675136899 900182532 1350273798 1425289009 1800365064 2700547596 2850578018 4275867027 5401095192 5701156036 8551734054 11402312072 12827601081 17103468108 25655202162 34206936216 51310404324 102620808648