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53113142400 = 273525532619
BaseRepresentation
bin110001011101110010…
…100011110010000000
312002002112202012011020
4301131302203302000
51332233431024100
640222210545440
73560123155443
oct613562436200
9162075665136
1053113142400
1120585a9100a
12a363598280
135015a19a16
1427dbd8965a
1515acd375a0
hexc5dca3c80

53113142400 has 96 divisors (see below), whose sum is σ = 174941444400. Its totient is φ = 14163502080.

The previous prime is 53113142323. The next prime is 53113142429. The reversal of 53113142400 is 424131135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2756710 + ... + 2775909.

Almost surely, 253113142400 is an apocalyptic number.

53113142400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53113142400 is an abundant number, since it is smaller than the sum of its proper divisors (121828302000).

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

53113142400 is a wasteful number, since it uses less digits than its factorization.

53113142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532646 (or 5532629 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 53113142400 its reverse (424131135), we get a palindrome (53537273535).

The spelling of 53113142400 in words is "fifty-three billion, one hundred thirteen million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 5532619 11065238 16597857 22130476 27663095 33195714 44260952 55326190 66391428 82989285 88521904 110652380 132782856 138315475 165978570 177043808 221304760 265565712 276630950 331957140 354087616 414946425 442609520 531131424 553261900 663914280 708175232 829892850 885219040 1062262848 1106523800 1327828560 1659785700 1770438080 2124525696 2213047600 2655657120 3319571400 3540876160 4426095200 5311314240 6639142800 8852190400 10622628480 13278285600 17704380800 26556571200 53113142400