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38345042868 = 223114160111789
BaseRepresentation
bin100011101101100010…
…101110101110110100
310122222022222000002220
4203231202232232310
51112012312332433
625340535202340
72525140325616
oct435542565664
9118868860086
1038345042868
1115297860280
1275218163b0
133801246ca2
141bda88cdb6
15ee657e2b3
hex8ed8aebb4

38345042868 has 96 divisors (see below), whose sum is σ = 100161048960. Its totient is φ = 11316480000.

The previous prime is 38345042861. The next prime is 38345042893. The reversal of 38345042868 is 86824054383.

It is a self number, because there is not a number n which added to its sum of digits gives 38345042868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38345042861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3246718 + ... + 3258506.

It is an arithmetic number, because the mean of its divisors is an integer number (1043344260).

Almost surely, 238345042868 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 38345042868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50080524480).

38345042868 is an abundant number, since it is smaller than the sum of its proper divisors (61816006092).

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

38345042868 is a wasteful number, since it uses less digits than its factorization.

38345042868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449 (or 12447 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 38345042868 in words is "thirty-eight billion, three hundred forty-five million, forty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 601 902 1202 1353 1803 1804 2404 2706 3606 5412 6611 7212 11789 13222 19833 23578 24641 26444 35367 39666 47156 49282 70734 73923 79332 98564 129679 141468 147846 259358 271051 295692 389037 483349 518716 542102 778074 813153 966698 1084204 1450047 1556148 1626306 1933396 2900094 3252612 5316839 5800188 7085189 10633678 14170378 15950517 21255567 21267356 28340756 31901034 42511134 63802068 77937079 85022268 155874158 233811237 290492749 311748316 467622474 580985498 871478247 935244948 1161970996 1742956494 3195420239 3485912988 6390840478 9586260717 12781680956 19172521434 38345042868