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51355450340400 = 24352307139401331
BaseRepresentation
bin10111010110101000111110…
…10111111111010000110000
320201211112101122002212110010
423223110133113333100300
523212401430241343100
6301120211310134520
713550210635260513
oct1353243727772060
9221745348085403
1051355450340400
11153aa7a6979788
1259150444b1440
132286a4b80460b
14c9788d2d0d7a
155e0d16b8a750
hex2eb51f5ff430

51355450340400 has 120 divisors (see below), whose sum is σ = 165044485824064. Its totient is φ = 13650178233600.

The previous prime is 51355450340371. The next prime is 51355450340461. The reversal of 51355450340400 is 404305455315.

It is a happy number.

51355450340400 is digitally balanced in base 5, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69332266 + ... + 70069065.

Almost surely, 251355450340400 is an apocalyptic number.

51355450340400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51355450340400 is an abundant number, since it is smaller than the sum of its proper divisors (113689035483664).

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

51355450340400 is a wasteful number, since it uses less digits than its factorization.

51355450340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139401659 (or 139401648 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

Adding to 51355450340400 its reverse (404305455315), we get a palindrome (51759755795715).

The spelling of 51355450340400 in words is "fifty-one trillion, three hundred fifty-five billion, four hundred fifty million, three hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 307 400 600 614 921 1200 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 7675 9210 12280 14736 15350 18420 23025 24560 30700 36840 46050 61400 73680 92100 122800 184200 368400 139401331 278802662 418203993 557605324 697006655 836407986 1115210648 1394013310 1672815972 2091019965 2230421296 2788026620 3345631944 3485033275 4182039930 5576053240 6691263888 6970066550 8364079860 10455099825 11152106480 13940133100 16728159720 20910199650 27880266200 33456319440 41820399300 42796208617 55760532400 83640798600 85592417234 128388625851 167281597200 171184834468 213981043085 256777251702 342369668936 427962086170 513554503404 641943129255 684739337872 855924172340 1027109006808 1069905215425 1283886258510 1711848344680 2054218013616 2139810430850 2567772517020 3209715646275 3423696689360 4279620861700 5135545034040 6419431292550 8559241723400 10271090068080 12838862585100 17118483446800 25677725170200 51355450340400