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40187058552 = 23332635991181
BaseRepresentation
bin100101011011010101…
…011101100101111000
310211201201001002121000
4211123111131211320
51124300341333202
630243420045000
72621605235004
oct453325354570
9124651032530
1040187058552
1116052601993
127956693760
133a35a581b4
141d33381704
1510a313691c
hex95b55d978

40187058552 has 128 divisors (see below), whose sum is σ = 112337280000. Its totient is φ = 13311192960.

The previous prime is 40187058521. The next prime is 40187058563. The reversal of 40187058552 is 25585078104.

40187058552 is a `hidden beast` number, since 4 + 0 + 18 + 7 + 0 + 585 + 52 = 666.

It is a super-2 number, since 2×401870585522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40187058498 and 40187058507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34027402 + ... + 34028582.

It is an arithmetic number, because the mean of its divisors is an integer number (877635000).

Almost surely, 240187058552 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 40187058552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56168640000).

40187058552 is an abundant number, since it is smaller than the sum of its proper divisors (72150221448).

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

40187058552 is a wasteful number, since it uses less digits than its factorization.

40187058552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 40187058552 in words is "forty billion, one hundred eighty-seven million, fifty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 263 526 599 789 1052 1181 1198 1578 1797 2104 2362 2367 2396 3156 3543 3594 4724 4734 4792 5391 6312 7086 7101 7188 9448 9468 10629 10782 14172 14202 14376 16173 18936 21258 21564 28344 28404 31887 32346 42516 43128 56808 63774 64692 85032 127548 129384 157537 255096 310603 315074 472611 621206 630148 707419 931809 945222 1242412 1260296 1414838 1417833 1863618 1890444 2122257 2484824 2795427 2829676 2835666 3727236 3780888 4244514 4253499 5590854 5659352 5671332 6366771 7454472 8386281 8489028 8506998 11181708 11342664 12733542 16772562 16978056 17013996 19100313 22363416 25467084 33545124 34027992 38200626 50934168 67090248 76401252 152802504 186051197 372102394 558153591 744204788 1116307182 1488409576 1674460773 2232614364 3348921546 4465228728 5023382319 6697843092 10046764638 13395686184 20093529276 40187058552