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10488917221398 = 2327117567761343
BaseRepresentation
bin1001100010100010010000…
…1011110110000000010110
31101010201201200020110221100
42120220210023312000112
52333322300302041043
634150313025530530
72131541101223040
oct230504413660026
941121650213840
1010488917221398
113384363364960
1212149a51a3a46
135b1140187925
14283948494a90
15132c92ad4cd3
hex98a242f6016

10488917221398 has 48 divisors (see below), whose sum is σ = 28333698471936. Its totient is φ = 2724394083120.

The previous prime is 10488917221337. The next prime is 10488917221403. The reversal of 10488917221398 is 89312271988401.

10488917221398 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 8 + 9 + 17 + 221 + 398 = 666.

It is a super-2 number, since 2×104889172213982 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 3783879286 + ... + 3783882057.

It is an arithmetic number, because the mean of its divisors is an integer number (590285384832).

Almost surely, 210488917221398 is an apocalyptic number.

10488917221398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10488917221398 is an abundant number, since it is smaller than the sum of its proper divisors (17844781250538).

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

10488917221398 is a wasteful number, since it uses less digits than its factorization.

10488917221398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567761369 (or 7567761366 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 10488917221398 in words is "ten trillion, four hundred eighty-eight billion, nine hundred seventeen million, two hundred twenty-one thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 7567761343 15135522686 22703284029 45406568058 52974329401 68109852087 83245374773 105948658802 136219704174 158922988203 166490749546 249736124319 317845976406 476768964609 499472248638 582717623411 749208372957 953537929218 1165435246822 1498416745914 1748152870233 3496305740466 5244458610699 10488917221398