Search a number
-
+
136403643150504 = 23333168632968223
BaseRepresentation
bin11111000000111011110010…
…101100100011000010101000
3122212222001122102100102122000
4133000323302230203002220
5120334314130121304004
61202034545114331000
740505560302325002
oct3700736254430250
9585861572312560
10136403643150504
113a50a507582964
121336bb34129a60
135b15a67c60c72
142597d85d33372
1510b8289bb1c39
hex7c0ef2b230a8

136403643150504 has 128 divisors (see below), whose sum is σ = 391178679091200. Its totient is φ = 43994749026240.

The previous prime is 136403643150503. The next prime is 136403643150521. The reversal of 136403643150504 is 405051346304631.

136403643150504 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 0 + 3 + 64 + 31 + 50 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136403643150504.

It is not an unprimeable number, because it can be changed into a prime (136403643150503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44470537 + ... + 47438759.

It is an arithmetic number, because the mean of its divisors is an integer number (3056083430400).

Almost surely, 2136403643150504 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 136403643150504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195589339545600).

136403643150504 is an abundant number, since it is smaller than the sum of its proper divisors (254775035940696).

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

136403643150504 is a wasteful number, since it uses less digits than its factorization.

136403643150504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975132 (or 2975122 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 136403643150504 in words is "one hundred thirty-six trillion, four hundred three billion, six hundred forty-three million, one hundred fifty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 6863 13726 20589 27452 41178 54904 61767 82356 123534 164712 185301 212753 247068 370602 425506 494136 638259 741204 851012 1276518 1482408 1702024 1914777 2553036 2968223 3829554 5106072 5744331 5936446 7659108 8904669 11488662 11872892 15318216 17809338 22977324 23745784 26714007 35618676 45954648 53428014 71237352 80142021 92014913 106856028 160284042 184029826 213712056 276044739 320568084 368059652 552089478 641136168 736119304 828134217 1104178956 1656268434 2208357912 2484402651 3312536868 4968805302 6625073736 9937610604 19875221208 20370914449 40741828898 61112743347 81483657796 122225486694 162967315592 183338230041 244450973388 366676460082 488901946776 550014690123 631498347919 733352920164 1100029380246 1262996695838 1466705840328 1894495043757 2200058760492 2525993391676 3788990087514 4400117520984 5051986783352 5683485131271 7577980175028 11366970262542 15155960350056 17050455393813 22733940525084 34100910787626 45467881050168 68201821575252 136403643150504