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38042178372 = 223211487197261
BaseRepresentation
bin100011011011011111…
…011001001101000100
310122012020001220010100
4203123133121031010
51110402244201442
625250515524100
72514502116012
oct433337311504
9118166056110
1038042178372
11151518aa740
1274582b9630
133783585423
141bac5718b2
15ec9ba684c
hex8db7d9344

38042178372 has 72 divisors (see below), whose sum is σ = 105120130752. Its totient is φ = 11504203200.

The previous prime is 38042178301. The next prime is 38042178373. The reversal of 38042178372 is 27387124083.

38042178372 is a `hidden beast` number, since 3 + 80 + 421 + 7 + 83 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (38042178373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94222 + ... + 291482.

It is an arithmetic number, because the mean of its divisors is an integer number (1460001816).

Almost surely, 238042178372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38042178372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52560065376).

38042178372 is an abundant number, since it is smaller than the sum of its proper divisors (67077952380).

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

38042178372 is a wasteful number, since it uses less digits than its factorization.

38042178372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197769 (or 197764 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 38042178372 in words is "thirty-eight billion, forty-two million, one hundred seventy-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 487 974 1461 1948 2922 4383 5357 5844 8766 10714 16071 17532 21428 32142 48213 64284 96426 192852 197261 394522 591783 789044 1183566 1775349 2169871 2367132 3550698 4339742 6509613 7101396 8679484 13019226 19528839 26038452 39057678 78115356 96066107 192132214 288198321 384264428 576396642 864594963 1056727177 1152793284 1729189926 2113454354 3170181531 3458379852 4226908708 6340363062 9510544593 12680726124 19021089186 38042178372