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38852555072 = 2617378091193
BaseRepresentation
bin100100001011110010…
…101111000101000000
310201021200221021222012
4210023302233011000
51114032223230242
625503145032052
72543542161212
oct441362570500
9121250837865
1038852555072
1115528288751
127643785628
13388242c476
141c4803c5b2
151025dcd282
hex90bcaf140

38852555072 has 112 divisors (see below), whose sum is σ = 84013517520. Its totient is φ = 17752522752.

The previous prime is 38852555057. The next prime is 38852555083. The reversal of 38852555072 is 27055525883.

It can be written as a sum of positive squares in 8 ways, for example, as 12317448256 + 26535106816 = 110984^2 + 162896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38852555072.

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, 32566508 + ... + 32567700.

Almost surely, 238852555072 is an apocalyptic number.

38852555072 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 38852555072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42006758760).

38852555072 is an abundant number, since it is smaller than the sum of its proper divisors (45160962448).

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

38852555072 is a wasteful number, since it uses less digits than its factorization.

38852555072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 50.

The spelling of 38852555072 in words is "thirty-eight billion, eight hundred fifty-two million, five hundred fifty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 136 148 272 296 544 592 629 809 1088 1184 1193 1258 1618 2368 2386 2516 3236 4772 5032 6472 9544 10064 12944 13753 19088 20128 20281 25888 27506 29933 38176 40256 40562 44141 51776 55012 59866 76352 81124 88282 110024 119732 162248 176564 220048 239464 324496 353128 440096 478928 508861 648992 706256 750397 880192 957856 965137 1017722 1297984 1412512 1500794 1915712 1930274 2035444 2825024 3001588 3860548 4070888 6003176 7721096 8141776 12006352 15442192 16283552 16407329 24012704 30884384 32567104 32814658 35710069 48025408 61768768 65629316 71420138 131258632 142840276 262517264 285680552 525034528 571361104 607071173 1050069056 1142722208 1214142346 2285444416 2428284692 4856569384 9713138768 19426277536 38852555072