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38094061328 = 2423317874243
BaseRepresentation
bin100011011110100101…
…010011111100010000
310122022211200211011022
4203132211103330100
51111004034430303
625300011535012
72516002115201
oct433645237420
9118284624138
1038094061328
1115179117114
12747175a468
13379124c8bb
141bb53d95a8
15ece504438
hex8de953f10

38094061328 has 80 divisors (see below), whose sum is σ = 79620427776. Its totient is φ = 17604639360.

The previous prime is 38094061307. The next prime is 38094061333. The reversal of 38094061328 is 82316049083.

38094061328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1951772-1.

It is a super-2 number, since 2×380940613282 (a number of 22 digits) contains 22 as substring.

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, 8975975 + ... + 8980217.

Almost surely, 238094061328 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 38094061328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39810213888).

38094061328 is an abundant number, since it is smaller than the sum of its proper divisors (41526366448).

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

38094061328 is a wasteful number, since it uses less digits than its factorization.

38094061328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 38094061328 in words is "thirty-eight billion, ninety-four million, sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 787 1426 1574 2852 3148 4243 5704 6296 8486 11408 12592 16972 18101 24397 33944 36202 48794 67888 72404 97588 97589 131533 144808 195176 195178 263066 289616 390352 390356 526132 561131 780712 1052264 1122262 1561424 2104528 2244524 3025259 3339241 4489048 6050518 6678482 8978096 12101036 13356964 24202072 26713928 48404144 53427856 76802543 103516471 153605086 207032942 307210172 414065884 614420344 828131768 1228840688 1656263536 2380878833 4761757666 9523515332 19047030664 38094061328