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4378362751664 = 2411269111782793
BaseRepresentation
bin111111101101101010110…
…000011010101010110000
3120111120022121221222011222
4333231222300122222300
51033213341331023124
613151220404524212
7631216624222346
oct77555260325260
916446277858158
104378362751664
1114389426a2050
125a86809b0668
13259b547b4145
14111cb19cb996
1578d5802c25e
hex3fb6ac1aab0

4378362751664 has 80 divisors (see below), whose sum is σ = 9297097224480. Its totient is φ = 1980967495680.

The previous prime is 4378362751661. The next prime is 4378362751667. The reversal of 4378362751664 is 4661572638734.

It is an interprime number because it is at equal distance from previous prime (4378362751661) and next prime (4378362751667).

It is a junction number, because it is equal to n+sod(n) for n = 4378362751597 and 4378362751606.

It is not an unprimeable number, because it can be changed into a prime (4378362751661) by changing a digit.

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, 52841852 + ... + 52924644.

It is an arithmetic number, because the mean of its divisors is an integer number (116213715306).

Almost surely, 24378362751664 is an apocalyptic number.

4378362751664 is a gapful number since it is divisible by the number (44) 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 4378362751664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648548612240).

4378362751664 is an abundant number, since it is smaller than the sum of its proper divisors (4918734472816).

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

4378362751664 is a wasteful number, since it uses less digits than its factorization.

4378362751664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84198 (or 84192 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 62.

The spelling of 4378362751664 in words is "four trillion, three hundred seventy-eight billion, three hundred sixty-two million, seven hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 1076 1117 2152 2234 2959 4304 4468 5918 8936 11836 12287 17872 23672 24574 47344 49148 82793 98296 165586 196592 300473 331172 600946 662344 910723 1201892 1324688 1821446 2403784 3305203 3642892 4807568 6610406 7285784 13220812 14571568 22271317 26441624 44542634 52883248 89085268 92479781 178170536 184959562 244984487 356341072 369919124 489968974 739838248 979937948 1017277591 1479676496 1959875896 2034555182 3919751792 4069110364 8138220728 16276441456 24877061089 49754122178 99508244356 199016488712 273647671979 398032977424 547295343958 1094590687916 2189181375832 4378362751664