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38675451312 = 24326110741149
BaseRepresentation
bin100100000001001111…
…001000110110110000
310200211100200111021200
4210001033020312300
51113201403420222
625433421051200
72536261624551
oct440117106660
9120740614250
1038675451312
1115447314003
1275b43b6b00
133854830944
141c2c6da328
151015597eac
hex9013c8db0

38675451312 has 120 divisors (see below), whose sum is σ = 111042781200. Its totient is φ = 12561661440.

The previous prime is 38675451307. The next prime is 38675451329. The reversal of 38675451312 is 21315457683.

It is a happy number.

38675451312 is a `hidden beast` number, since 3 + 86 + 7 + 54 + 513 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919314 + ... + 960462.

It is an arithmetic number, because the mean of its divisors is an integer number (925356510).

Almost surely, 238675451312 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 38675451312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55521390600).

38675451312 is an abundant number, since it is smaller than the sum of its proper divisors (72367329888).

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

38675451312 is a wasteful number, since it uses less digits than its factorization.

38675451312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41331 (or 41322 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 38675451312 in words is "thirty-eight billion, six hundred seventy-five million, four hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 107 122 144 183 214 244 321 366 428 488 549 642 732 856 963 976 1098 1284 1464 1712 1926 2196 2568 2928 3852 4392 5136 6527 7704 8784 13054 15408 19581 26108 39162 41149 52216 58743 78324 82298 104432 117486 123447 156648 164596 234972 246894 313296 329192 370341 469944 493788 658384 740682 939888 987576 1481364 1975152 2510089 2962728 4402943 5020178 5925456 7530267 8805886 10040356 13208829 15060534 17611772 20080712 22590801 26417658 30121068 35223544 39626487 40161424 45181602 52835316 60242136 70447088 79252974 90363204 105670632 120484272 158505948 180726408 211341264 268579523 317011896 361452816 537159046 634023792 805738569 1074318092 1611477138 2148636184 2417215707 3222954276 4297272368 4834431414 6445908552 9668862828 12891817104 19337725656 38675451312