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56016613200 = 24352192456869
BaseRepresentation
bin110100001010110110…
…011010111101010000
312100120220010210022210
4310022312122331100
51404210223110300
641422250232120
74022100233052
oct641266327520
9170526123283
1056016613200
1121835a10659
12aa33a25640
135389404492
1429d58258d2
1516ccbb0050
hexd0ad9af50

56016613200 has 120 divisors (see below), whose sum is σ = 188884165600. Its totient is φ = 14151559680.

The previous prime is 56016613189. The next prime is 56016613207. The reversal of 56016613200 is 231661065.

56016613200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56016613207) 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, 1205635 + ... + 1251234.

Almost surely, 256016613200 is an apocalyptic number.

56016613200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56016613200 is an abundant number, since it is smaller than the sum of its proper divisors (132867552400).

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

56016613200 is a wasteful number, since it uses less digits than its factorization.

56016613200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456909 (or 2456898 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 56016613200 in words is "fifty-six billion, sixteen million, six hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 2456869 4913738 7370607 9827476 12284345 14741214 19654952 24568690 29482428 36853035 39309904 46680511 49137380 58964856 61421725 73706070 93361022 98274760 117929712 122843450 140041533 147412140 184265175 186722044 196549520 233402555 245686900 280083066 294824280 368530350 373444088 466805110 491373800 560166132 589648560 700207665 737060700 746888176 933610220 982747600 1120332264 1167012775 1400415330 1474121400 1867220440 2240664528 2334025550 2800830660 2948242800 3501038325 3734440880 4668051100 5601661320 7002076650 9336102200 11203322640 14004153300 18672204400 28008306600 56016613200