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53211245040 = 24325109678023
BaseRepresentation
bin110001100011101000…
…110010100111110000
312002100101100022200100
4301203220302213300
51332434034320130
640240033352400
73562424056122
oct614350624760
9162311308610
1053211245040
11206263a6a78
12a390408700
135030147a15
14280b005212
1515b6764c60
hexc63a329f0

53211245040 has 120 divisors (see below), whose sum is σ = 180340823520. Its totient is φ = 14059464192.

The previous prime is 53211245011. The next prime is 53211245047. The reversal of 53211245040 is 4054211235.

53211245040 is a `hidden beast` number, since 5 + 32 + 1 + 124 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×532112450404 (a number of 44 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53211244995 and 53211245013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53211245047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260532 + ... + 417491.

It is an arithmetic number, because the mean of its divisors is an integer number (1502840196).

Almost surely, 253211245040 is an apocalyptic number.

It is an amenable number.

53211245040 is an abundant number, since it is smaller than the sum of its proper divisors (127129578480).

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

53211245040 is a wasteful number, since it uses less digits than its factorization.

53211245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678151 (or 678142 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 53211245040 its reverse (4054211235), we get a palindrome (57265456275).

The spelling of 53211245040 in words is "fifty-three billion, two hundred eleven million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 109 120 144 180 218 240 327 360 436 545 654 720 872 981 1090 1308 1635 1744 1962 2180 2616 3270 3924 4360 4905 5232 6540 7848 8720 9810 13080 15696 19620 26160 39240 78480 678023 1356046 2034069 2712092 3390115 4068138 5424184 6102207 6780230 8136276 10170345 10848368 12204414 13560460 16272552 20340690 24408828 27120920 30511035 32545104 40681380 48817656 54241840 61022070 73904507 81362760 97635312 122044140 147809014 162725520 221713521 244088280 295618028 369522535 443427042 488176560 591236056 665140563 739045070 886854084 1108567605 1182472112 1330281126 1478090140 1773708168 2217135210 2660562252 2956180280 3325702815 3547416336 4434270420 5321124504 5912360560 6651405630 8868540840 10642249008 13302811260 17737081680 26605622520 53211245040