Search a number
-
+
40602426552 = 2333477354787
BaseRepresentation
bin100101110100000101…
…111101110010111000
310212210122121222101000
4211310011331302320
51131123210122202
630352534525000
72635110634302
oct456405756270
9125718558330
1040602426552
1116246014026
127a51806760
133aa0b1a78c
141d725c6972
1510c983391c
hex97417dcb8

40602426552 has 128 divisors (see below), whose sum is σ = 116764185600. Its totient is φ = 13064488704.

The previous prime is 40602426521. The next prime is 40602426563. The reversal of 40602426552 is 25562420604.

40602426552 is a `hidden beast` number, since 4 + 0 + 60 + 2 + 42 + 6 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713703 + ... + 768489.

It is an arithmetic number, because the mean of its divisors is an integer number (912220200).

Almost surely, 240602426552 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 40602426552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58382092800).

40602426552 is an abundant number, since it is smaller than the sum of its proper divisors (76161759048).

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

40602426552 is a wasteful number, since it uses less digits than its factorization.

40602426552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54922 (or 54912 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 40602426552 in words is "forty billion, six hundred two million, four hundred twenty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 73 94 108 141 146 188 216 219 282 292 376 423 438 564 584 657 846 876 1128 1269 1314 1692 1752 1971 2538 2628 3384 3431 3942 5076 5256 6862 7884 10152 10293 13724 15768 20586 27448 30879 41172 54787 61758 82344 92637 109574 123516 164361 185274 219148 247032 328722 370548 438296 493083 657444 741096 986166 1314888 1479249 1972332 2574989 2958498 3944664 3999451 5149978 5916996 7724967 7998902 10299956 11833992 11998353 15449934 15997804 20599912 23174901 23996706 30899868 31995608 35995059 46349802 47993412 61799736 69524703 71990118 92699604 95986824 107985177 139049406 143980236 185399208 187974197 215970354 278098812 287960472 375948394 431940708 556197624 563922591 751896788 863881416 1127845182 1503793576 1691767773 2255690364 3383535546 4511380728 5075303319 6767071092 10150606638 13534142184 20301213276 40602426552