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166246048416 = 2537614055573
BaseRepresentation
bin1001101011010100001…
…0010110001010100000
3120220002222021021122110
42122311002112022200
510210432442022131
6204212233435320
715003506044620
oct2326502261240
9526088237573
10166246048416
1164560618848
122827756bb40
13128a52c3566
148091290880
1544ceec8646
hex26b50962a0

166246048416 has 96 divisors (see below), whose sum is σ = 506914305408. Its totient is φ = 46720189440.

The previous prime is 166246048387. The next prime is 166246048471. The reversal of 166246048416 is 614840642661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1662460484162 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1986795 + ... + 2068778.

It is an arithmetic number, because the mean of its divisors is an integer number (5280357348).

Almost surely, 2166246048416 is an apocalyptic number.

166246048416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166246048416 is an abundant number, since it is smaller than the sum of its proper divisors (340668256992).

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

166246048416 is a wasteful number, since it uses less digits than its factorization.

166246048416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055654 (or 4055646 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 166246048416 in words is "one hundred sixty-six billion, two hundred forty-six million, forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 10248 13664 20496 40992 4055573 8111146 12166719 16222292 24333438 28389011 32444584 48666876 56778022 64889168 85167033 97333752 113556044 129778336 170334066 194667504 227112088 247389953 340668132 389335008 454224176 494779906 681336264 742169859 908448352 989559812 1362672528 1484339718 1731729671 1979119624 2725345056 2968679436 3463459342 3958239248 5195189013 5937358872 6926918684 7916478496 10390378026 11874717744 13853837368 20780756052 23749435488 27707674736 41561512104 55415349472 83123024208 166246048416