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38720794176 = 26369112
BaseRepresentation
bin100100000011111100…
…000110111001000000
310200221112000011000000
4210003330012321000
51113300010403201
625442121000000
72540352214521
oct440374067100
9120845004000
1038720794176
111546a973849
127607623000
13386104833c
141c34740848
151019552d86
hex903f06e40

38720794176 has 147 divisors (see below), whose sum is σ = 115328759563. Its totient is φ = 12892763520.

The previous prime is 38720794159. The next prime is 38720794199. The reversal of 38720794176 is 67149702783.

The square root of 38720794176 is 196776.

It is a perfect power (a square), and thus also a powerful number.

38720794176 is a `hidden beast` number, since 387 + 2 + 0 + 7 + 94 + 176 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 42503161 + ... + 42504071.

Almost surely, 238720794176 is an apocalyptic number.

38720794176 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38720794176 is the 196776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38720794176

38720794176 is an abundant number, since it is smaller than the sum of its proper divisors (76607965387).

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

38720794176 is an frugal number, since it uses more digits than its factorization.

38720794176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 38720794176 in words is "thirty-eight billion, seven hundred twenty million, seven hundred ninety-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 911 972 1296 1458 1728 1822 1944 2592 2733 2916 3644 3888 5184 5466 5832 7288 7776 8199 10932 11664 14576 15552 16398 21864 23328 24597 29152 32796 43728 46656 49194 58304 65592 73791 87456 98388 131184 147582 174912 196776 221373 262368 295164 393552 442746 524736 590328 664119 787104 829921 885492 1180656 1328238 1574208 1659842 1770984 2361312 2489763 2656476 3319684 3541968 4722624 4979526 5312952 6639368 7083936 7469289 9959052 10625904 13278736 14167872 14938578 19918104 21251808 22407867 26557472 29877156 39836208 42503616 44815734 53114944 59754312 67223601 79672416 89631468 119508624 134447202 159344832 179262936 201670803 239017248 268894404 358525872 403341606 478034496 537788808 605012409 717051744 806683212 1075577616 1210024818 1434103488 1613366424 2151155232 2420049636 3226732848 4302310464 4840099272 6453465696 9680198544 12906931392 19360397088 38720794176