Search a number
-
+
56453511205040 = 24541160671071229
BaseRepresentation
bin11001101011000000110110…
…11110110101000010110000
321101212220101021001001110212
430311200123132311002300
524344413242332030130
6320022215055243252
714614426430524415
oct1465403336650260
9241786337031425
1056453511205040
1116a95888376234
1263b909a819528
13256670a721631
14dd251636410c
1567d743257e95
hex33581b7b50b0

56453511205040 has 80 divisors (see below), whose sum is σ = 134464234675680. Its totient is φ = 22029246781440.

The previous prime is 56453511205031. The next prime is 56453511205043. The reversal of 56453511205040 is 4050211535465.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (56453511205043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52164146 + ... + 53235374.

It is an arithmetic number, because the mean of its divisors is an integer number (1680802933446).

Almost surely, 256453511205040 is an apocalyptic number.

It is an amenable number.

56453511205040 is an abundant number, since it is smaller than the sum of its proper divisors (78010723470640).

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

56453511205040 is a wasteful number, since it uses less digits than its factorization.

56453511205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087350 (or 1087344 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 56453511205040 in words is "fifty-six trillion, four hundred fifty-three billion, five hundred eleven million, two hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 16067 32134 64268 80335 128536 160670 257072 321340 642680 658747 1071229 1285360 1317494 2142458 2634988 3293735 4284916 5269976 5356145 6587470 8569832 10539952 10712290 13174940 17139664 21424580 26349880 42849160 43920389 52699760 85698320 87840778 175681556 219601945 351363112 439203890 702726224 878407780 1756815560 3513631120 17211436343 34422872686 68845745372 86057181715 137691490744 172114363430 275382981488 344228726860 688457453720 705668890063 1376914907440 1411337780126 2822675560252 3528344450315 5645351120504 7056688900630 11290702241008 14113377801260 28226755602520 56453511205040