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166292062816 = 25111789312241
BaseRepresentation
bin1001101011011111000…
…1111000001001100000
3120220020011212001112111
42122313301320021200
510211031232002231
6204221000005104
715004605132445
oct2326761701140
9526204761474
10166292062816
1164584597080
122828aa60794
13128b19b4809
14809742b9cc
1544d40674b1
hex26b7c78260

166292062816 has 96 divisors (see below), whose sum is σ = 382409022240. Its totient is φ = 70341427200.

The previous prime is 166292062813. The next prime is 166292062817. The reversal of 166292062816 is 618260292661.

It is a self number, because there is not a number n which added to its sum of digits gives 166292062816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166292062813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376456 + ... + 688696.

It is an arithmetic number, because the mean of its divisors is an integer number (3983427315).

Almost surely, 2166292062816 is an apocalyptic number.

166292062816 is a gapful number since it is divisible by the number (16) 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 166292062816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191204511120).

166292062816 is an abundant number, since it is smaller than the sum of its proper divisors (216116959424).

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

166292062816 is a wasteful number, since it uses less digits than its factorization.

166292062816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312368 (or 312360 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 166292062816 in words is "one hundred sixty-six billion, two hundred ninety-two million, sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 89 136 176 178 187 272 352 356 374 544 712 748 979 1424 1496 1513 1958 2848 2992 3026 3916 5984 6052 7832 12104 15664 16643 24208 31328 33286 48416 66572 133144 266288 312241 532576 624482 1248964 2497928 3434651 4995856 5308097 6869302 9991712 10616194 13738604 21232388 27477208 27789449 42464776 54954416 55578898 58389067 84929552 109908832 111157796 116778134 169859104 222315592 233556268 305683939 444631184 467112536 472420633 611367878 889262368 934225072 944841266 1222735756 1868450144 1889682532 2445471512 3779365064 4890943024 5196626963 7558730128 9781886048 10393253926 15117460256 20786507852 41573015704 83146031408 166292062816