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381166322688 = 2103241359193
BaseRepresentation
bin1011000101111110100…
…10001000010000000000
31100102212010200102200200
411202333102020100000
522221112034311223
6451034433045200
736352441166544
oct5427722102000
91312763612620
10381166322688
111377194a7928
1261a579b6800
1329c36796198
141463cb61a24
159dad264a43
hex58bf488400

381166322688 has 66 divisors (see below), whose sum is σ = 1100609511534. Its totient is φ = 127055437824.

The previous prime is 381166322651. The next prime is 381166322707. The reversal of 381166322688 is 886223661183.

381166322688 is a `hidden beast` number, since 3 + 81 + 166 + 322 + 6 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 369041670144 + 12124652544 = 607488^2 + 110112^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20670381 + ... + 20688812.

Almost surely, 2381166322688 is an apocalyptic number.

It is an amenable number.

381166322688 is an abundant number, since it is smaller than the sum of its proper divisors (719443188846).

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

381166322688 is a wasteful number, since it uses less digits than its factorization.

381166322688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41359219 (or 41359198 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 381166322688 in words is "three hundred eighty-one billion, one hundred sixty-six million, three hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 41359193 82718386 124077579 165436772 248155158 330873544 372232737 496310316 661747088 744465474 992620632 1323494176 1488930948 1985241264 2646988352 2977861896 3970482528 5293976704 5955723792 7940965056 10587953408 11911447584 15881930112 21175906816 23822895168 31763860224 42351813632 47645790336 63527720448 95291580672 127055440896 190583161344 381166322688