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61536453144 = 233109139229739
BaseRepresentation
bin111001010011110110…
…111100001000011000
312212211120200201020020
4321103312330020120
52002011313000034
644134111430440
74305634135635
oct712366741030
9185746621206
1061536453144
11241087a6051
12bb14525420
135a58b7376a
142d9a96518c
15190259d249
hexe53dbc218

61536453144 has 128 divisors (see below), whose sum is σ = 157264800000. Its totient is φ = 20062453248.

The previous prime is 61536453079. The next prime is 61536453161. The reversal of 61536453144 is 44135463516.

It is a happy number.

61536453144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61536453096 and 61536453105.

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, 83269527 + ... + 83270265.

It is an arithmetic number, because the mean of its divisors is an integer number (1228631250).

Almost surely, 261536453144 is an apocalyptic number.

It is an amenable number.

61536453144 is an abundant number, since it is smaller than the sum of its proper divisors (95728346856).

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

61536453144 is a wasteful number, since it uses less digits than its factorization.

61536453144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1221 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 61536453144 in words is "sixty-one billion, five hundred thirty-six million, four hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 109 139 218 229 278 327 417 436 458 556 654 687 739 834 872 916 1112 1308 1374 1478 1668 1832 2217 2616 2748 2956 3336 4434 5496 5912 8868 15151 17736 24961 30302 31831 45453 49922 60604 63662 74883 80551 90906 95493 99844 102721 121208 127324 149766 161102 169231 181812 190986 199688 205442 241653 254648 299532 308163 322204 338462 363624 381972 410884 483306 507693 599064 616326 644408 676924 763944 821768 966612 1015386 1232652 1353848 1933224 2030772 2465304 3469579 4061544 6939158 10408737 11196589 13878316 18446179 20817474 22393178 23523109 27756632 33589767 36892358 41634948 44786356 47046218 55338537 67179534 70569327 73784716 83269896 89572712 94092436 110677074 134359068 141138654 147569432 188184872 221354148 268718136 282277308 442708296 564554616 2564018881 5128037762 7692056643 10256075524 15384113286 20512151048 30768226572 61536453144