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38161372950 = 23252229547677
BaseRepresentation
bin100011100010100110…
…000101011100010110
310122111112100121100100
4203202212011130112
51111123302413300
625310414354530
72520450214041
oct434246053426
9118445317310
1038161372950
1115203111358
1274901bba46
1337a218986c
141bc031bc58
15ed539d700
hex8e2985716

38161372950 has 144 divisors (see below), whose sum is σ = 103315240080. Its totient is φ = 10098466560.

The previous prime is 38161372943. The next prime is 38161372981. The reversal of 38161372950 is 5927316183.

38161372950 is a `hidden beast` number, since 3 + 8 + 1 + 613 + 7 + 29 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 38161372896 and 38161372905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56368012 + ... + 56368688.

It is an arithmetic number, because the mean of its divisors is an integer number (717466945).

Almost surely, 238161372950 is an apocalyptic number.

38161372950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38161372950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51657620040).

38161372950 is an abundant number, since it is smaller than the sum of its proper divisors (65153867130).

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

38161372950 is a wasteful number, since it uses less digits than its factorization.

38161372950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 38161372950 in words is "thirty-eight billion, one hundred sixty-one million, three hundred seventy-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 229 450 458 547 677 687 1094 1145 1354 1374 1641 2031 2061 2290 2735 3282 3385 3435 4062 4122 4923 5470 5725 6093 6770 6870 8205 9846 10155 10305 11450 12186 13675 16410 16925 17175 20310 20610 24615 27350 30465 33850 34350 41025 49230 50775 51525 60930 82050 101550 103050 123075 125263 152325 155033 246150 250526 304650 310066 370319 375789 465099 626315 740638 751578 775165 930198 1110957 1127367 1252630 1395297 1550330 1851595 1878945 2221914 2254734 2325495 2790594 3131575 3332871 3703190 3757890 3875825 4650990 5554785 5636835 6263150 6665742 6976485 7751650 9257975 9394725 11109570 11273670 11627475 13952970 16664355 18515950 18789450 23254950 27773925 28184175 33328710 34882425 55547850 56368350 69764850 83321775 84803051 166643550 169606102 254409153 424015255 508818306 763227459 848030510 1272045765 1526454918 2120076275 2544091530 3816137295 4240152550 6360228825 7632274590 12720457650 19080686475 38161372950