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39942372148 = 22722387710103
BaseRepresentation
bin100101001100110000…
…000011101100110100
310211002122121201221121
4211030300003230310
51123300221402043
630203235353324
72612544363400
oct451460035464
9124078551847
1039942372148
1115a37478418
1278a8752844
1339c7156243
141d0ca8a100
15108b901ded
hex94cc03b34

39942372148 has 72 divisors (see below), whose sum is σ = 84951683712. Its totient is φ = 16353602496.

The previous prime is 39942372143. The next prime is 39942372161. The reversal of 39942372148 is 84127324993.

It is a super-2 number, since 2×399423721482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39942372095 and 39942372104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39942372143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3948465 + ... + 3958567.

It is an arithmetic number, because the mean of its divisors is an integer number (1179884496).

Almost surely, 239942372148 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 39942372148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42475841856).

39942372148 is an abundant number, since it is smaller than the sum of its proper divisors (45009311564).

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

39942372148 is a wasteful number, since it uses less digits than its factorization.

39942372148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 11012 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The spelling of 39942372148 in words is "thirty-nine billion, nine hundred forty-two million, three hundred seventy-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 877 1127 1754 2254 3508 4508 6139 10103 12278 20171 20206 24556 40342 40412 42973 70721 80684 85946 141197 141442 171892 232369 282394 282884 464738 495047 564788 929476 988379 990094 1626583 1976758 1980188 3253166 3953516 6506332 8860331 11386081 17720662 22772162 35441324 45544324 62022317 124044634 203787613 248089268 407575226 434156219 815150452 868312438 1426513291 1736624876 2853026582 5706053164 9985593037 19971186074 39942372148