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38673498315204 = 22361151632
BaseRepresentation
bin10001100101100011000000…
…01000010001100111000100
312001221011001120222111000000
420302301200020101213010
520032111311032041304
6214130205421321300
711101032224545014
oct1062614010214704
9161834046874000
1038673498315204
111136037a645945
124407224406230
131876b83b04a3c
14979b43365c44
15470ebe395939
hex232c602119c4

38673498315204 has 63 divisors (see below), whose sum is σ = 101472395389183. Its totient is φ = 12891054166632.

The previous prime is 38673498315191. The next prime is 38673498315259. The reversal of 38673498315204 is 40251389437683.

It is a happy number.

The square root of 38673498315204 is 6218802.

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

38673498315204 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 349 + 83 + 1 + 5 + 204 = 666.

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, 335757727 + ... + 335872889.

It is a 1-persistent number, because it is pandigital, but 2⋅38673498315204 = 77346996630408 is not.

Almost surely, 238673498315204 is an apocalyptic number.

38673498315204 is the 6218802-nd square number.

It is an amenable number.

38673498315204 is an abundant number, since it is smaller than the sum of its proper divisors (62798897073979).

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

38673498315204 is an frugal number, since it uses more digits than its factorization.

38673498315204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230348 (or 115168 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 38673498315204 in words is "thirty-eight trillion, six hundred seventy-three billion, four hundred ninety-eight million, three hundred fifteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 115163 230326 345489 460652 690978 1036467 1381956 2072934 3109401 4145868 6218802 9328203 12437604 18656406 27984609 37312812 55969218 83953827 111938436 167907654 335815308 13262516569 26525033138 39787549707 53050066276 79575099414 119362649121 159150198828 238725298242 358087947363 477450596484 716175894726 1074263842089 1432351789452 2148527684178 3222791526267 4297055368356 6445583052534 9668374578801 12891166105068 19336749157602 38673498315204