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10062164310632 = 23711314271114297
BaseRepresentation
bin1001001001101100011110…
…1110101011101001101000
31022121221012112100102121122
42102123013232223221220
52304324303030420012
633222254445554412
72055652545305450
oct222330756535150
938557175312548
1010062164310632
11322a381484755
121166146575a08
1357cb200cc595
1426b02320cd60
15126b176b2e72
hex926c7baba68

10062164310632 has 64 divisors (see below), whose sum is σ = 21767856001920. Its totient is φ = 4271194626048.

The previous prime is 10062164310619. The next prime is 10062164310673. The reversal of 10062164310632 is 23601346126001.

It is a super-2 number, since 2×100621643106322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10062164310592 and 10062164310601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8472908 + ... + 9587204.

It is an arithmetic number, because the mean of its divisors is an integer number (340122750030).

Almost surely, 210062164310632 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 10062164310632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10883928000960).

10062164310632 is an abundant number, since it is smaller than the sum of its proper divisors (11705691691288).

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

10062164310632 is a wasteful number, since it uses less digits than its factorization.

10062164310632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115850 (or 1115846 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 10062164310632 in words is "ten trillion, sixty-two billion, one hundred sixty-four million, three hundred ten thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1427 1582 2854 3164 5708 6328 9989 11416 19978 39956 79912 161251 322502 645004 1114297 1128757 1290008 2228594 2257514 4457188 4515028 7800079 8914376 9030056 15600158 31200316 62400632 125915561 251831122 503662244 881408927 1007324488 1590101819 1762817854 3180203638 3525635708 6360407276 7051271416 11130712733 12720814552 22261425466 44522850932 89045701864 179681505547 359363011094 718726022188 1257770538829 1437452044376 2515541077658 5031082155316 10062164310632