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53001519840 = 25325142725793
BaseRepresentation
bin110001010111001000…
…110000001011100000
312001210202201011210100
4301113020300023200
51332021342113330
640203142302400
73554266325313
oct612710601340
9161722634710
1053001519840
1120528a81365
12a332127a00
134cc8866c79
1427cb21097a
1515a3139060
hexc572302e0

53001519840 has 144 divisors (see below), whose sum is σ = 181001450448. Its totient is φ = 14123286528.

The previous prime is 53001519839. The next prime is 53001519847. The reversal of 53001519840 is 4891510035.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×530015198402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 53001519795 and 53001519804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53001519847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2041984 + ... + 2067776.

It is an arithmetic number, because the mean of its divisors is an integer number (1256954517).

Almost surely, 253001519840 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 53001519840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90500725224).

53001519840 is an abundant number, since it is smaller than the sum of its proper divisors (127999930608).

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

53001519840 is a wasteful number, since it uses less digits than its factorization.

53001519840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27241 (or 27230 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 53001519840 in words is "fifty-three billion, one million, five hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1427 1440 2854 4281 5708 7135 8562 11416 12843 14270 17124 21405 22832 25686 25793 28540 34248 42810 45664 51372 51586 57080 64215 68496 77379 85620 102744 103172 114160 128430 128965 136992 154758 171240 205488 206344 228320 232137 256860 257930 309516 342480 386895 410976 412688 464274 513720 515860 619032 684960 773790 825376 928548 1027440 1031720 1160685 1238064 1547580 1857096 2054880 2063440 2321370 2476128 3095160 3714192 4126880 4642740 6190320 7428384 9285480 12380640 18570960 36806611 37141920 73613222 110419833 147226444 184033055 220839666 294452888 331259499 368066110 441679332 552099165 588905776 662518998 736132220 883358664 1104198330 1177811552 1325037996 1472264440 1656297495 1766717328 2208396660 2650075992 2944528880 3312594990 3533434656 4416793320 5300151984 5889057760 6625189980 8833586640 10600303968 13250379960 17667173280 26500759920 53001519840