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46982697168 = 24311274932369
BaseRepresentation
bin101011110000011000…
…110001000011010000
311111021022020022021010
4223300120301003100
51232210032302133
633330014130520
73252163223331
oct536030610320
9144238208233
1046982697168
1118a1a564850
1291324b0a40
13457990a934
1423b9b02288
15134ea34263
hexaf06310d0

46982697168 has 80 divisors (see below), whose sum is σ = 132458040000. Its totient is φ = 14231562240.

The previous prime is 46982697161. The next prime is 46982697221. The reversal of 46982697168 is 86179628964.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46982697099 and 46982697108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46982697161) 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, 1435288 + ... + 1467656.

It is an arithmetic number, because the mean of its divisors is an integer number (1655725500).

Almost surely, 246982697168 is an apocalyptic number.

46982697168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46982697168 is an abundant number, since it is smaller than the sum of its proper divisors (85475342832).

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

46982697168 is a wasteful number, since it uses less digits than its factorization.

46982697168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35140 (or 35134 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 66.

The spelling of 46982697168 in words is "forty-six billion, nine hundred eighty-two million, six hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2749 5498 8247 10996 16494 21992 30239 32369 32988 43984 60478 64738 65976 90717 97107 120956 129476 131952 181434 194214 241912 258952 356059 362868 388428 483824 517904 712118 725736 776856 1068177 1424236 1451472 1553712 2136354 2848472 4272708 5696944 8545416 17090832 88982381 177964762 266947143 355929524 533894286 711859048 978806191 1067788572 1423718096 1957612382 2135577144 2936418573 3915224764 4271154288 5872837146 7830449528 11745674292 15660899056 23491348584 46982697168