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38652009121476 = 2238383772
BaseRepresentation
bin10001100100111010111110…
…10001100000011011000100
312001212002120222021100000000
420302131133101200123010
520031233303313341401
6214112253213321300
711066341550451312
oct1062353721403304
9161762528240000
1038652009121476
1111352252547603
124403027796230
131874b3aa4c6aa
14978aa53910b2
15470662a17186
hex23275f4606c4

38652009121476 has 81 divisors (see below), whose sum is σ = 101459012909709. Its totient is φ = 12883667318496.

The previous prime is 38652009121441. The next prime is 38652009121601. The reversal of 38652009121476 is 67412190025683.

It is a happy number.

The square root of 38652009121476 is 6217074.

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

38652009121476 is a `hidden beast` number, since 3 + 8 + 6 + 520 + 0 + 91 + 21 + 4 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50341896900 + 38601667224576 = 224370^2 + 6213024^2 .

It is a tau number, because it is divible by the number of its divisors (81).

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1007146800 + ... + 1007185176.

It is a 1-persistent number, because it is pandigital, but 2⋅38652009121476 = 77304018242952 is not.

Almost surely, 238652009121476 is an apocalyptic number.

38652009121476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38652009121476 is the 6217074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38652009121476

38652009121476 is an abundant number, since it is smaller than the sum of its proper divisors (62807003788233).

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

38652009121476 is an frugal number, since it uses more digits than its factorization.

38652009121476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76782 (or 38382 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 38652009121476 in words is "thirty-eight trillion, six hundred fifty-two billion, nine million, one hundred twenty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244 38377 76754 115131 153508 230262 345393 460524 690786 1036179 1381572 2072358 3108537 4144716 6217074 9325611 12434148 18651222 27976833 37302444 55953666 83930499 111907332 167860998 251791497 335721996 503582994 1007165988 1472794129 2945588258 4418382387 5891176516 8836764774 13255147161 17673529548 26510294322 39765441483 53020588644 79530882966 119296324449 159061765932 238592648898 357888973347 477185297796 715777946694 1073666920041 1431555893388 2147333840082 3221000760123 4294667680164 6442001520246 9663002280369 12884003040492 19326004560738 38652009121476