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38095095552 = 283417316573
BaseRepresentation
bin100011011110101001…
…010000011100000000
310122022220122100211220
4203132221100130000
51111004321024202
625300050035040
72516013653343
oct433651203400
9118286570756
1038095095552
1115179763148
127471b78a80
133791522577
141bb55c845a
15ece65aabc
hex8dea50700

38095095552 has 144 divisors (see below), whose sum is σ = 105290511648. Its totient is φ = 12218204160.

The previous prime is 38095095547. The next prime is 38095095583. The reversal of 38095095552 is 25559059083.

It is a junction number, because it is equal to n+sod(n) for n = 38095095495 and 38095095504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2290338 + ... + 2306910.

Almost surely, 238095095552 is an apocalyptic number.

38095095552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38095095552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52645255824).

38095095552 is an abundant number, since it is smaller than the sum of its proper divisors (67195416096).

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

38095095552 is a wasteful number, since it uses less digits than its factorization.

38095095552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16706 (or 16692 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 51.

The spelling of 38095095552 in words is "thirty-eight billion, ninety-five million, ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 73 82 96 123 128 146 164 192 219 246 256 292 328 384 438 492 584 656 768 876 984 1168 1312 1752 1968 2336 2624 2993 3504 3936 4672 5248 5986 7008 7872 8979 9344 10496 11972 14016 15744 16573 17958 18688 23944 28032 31488 33146 35916 47888 49719 56064 66292 71832 95776 99438 132584 143664 191552 198876 265168 287328 383104 397752 530336 574656 679493 766208 795504 1060672 1149312 1209829 1358986 1591008 2038479 2121344 2298624 2419658 2717972 3182016 3629487 4076958 4242688 4839316 5435944 6364032 7258974 8153916 9678632 10871888 12728064 14517948 16307832 19357264 21743776 29035896 32615664 38714528 43487552 49602989 58071792 65231328 77429056 86975104 99205978 116143584 130462656 148808967 154858112 173950208 198411956 232287168 260925312 297617934 309716224 396823912 464574336 521850624 595235868 793647824 929148672 1190471736 1587295648 2380943472 3174591296 4761886944 6349182592 9523773888 12698365184 19047547776 38095095552