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542100415414376 = 23713985775544631
BaseRepresentation
bin111101101000010011001011…
…0101100011000000001101000
32122002102021221000200002100102
41323100212112230120001220
51032023233122321230001
65200541254241524532
7222120314436456560
oct17320462654300150
92562367830602312
10542100415414376
11147803549a77795
1250972838343748
131a363b080ac970
1497c1b2b69dda0
1542a142103ce6b
hex1ed0996b18068

542100415414376 has 64 divisors (see below), whose sum is σ = 1251127890190080. Its totient is φ = 214435547504640.

The previous prime is 542100415414373. The next prime is 542100415414391. The reversal of 542100415414376 is 673414514001245.

It is a self number, because there is not a number n which added to its sum of digits gives 542100415414376.

It is not an unprimeable number, because it can be changed into a prime (542100415414373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30596420 + ... + 44948211.

It is an arithmetic number, because the mean of its divisors is an integer number (19548873284220).

Almost surely, 2542100415414376 is an apocalyptic number.

542100415414376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

542100415414376 is an abundant number, since it is smaller than the sum of its proper divisors (709027474775704).

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

542100415414376 is a wasteful number, since it uses less digits than its factorization.

542100415414376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75554514 (or 75554510 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 542100415414376 in words is "five hundred forty-two trillion, one hundred billion, four hundred fifteen million, four hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 9857 19714 39428 68999 78856 128141 137998 256282 275996 512564 551992 896987 1025128 1793974 3587948 7175896 75544631 151089262 302178524 528812417 604357048 982080203 1057624834 1964160406 2115249668 3928320812 4230499336 6874561421 7856641624 13749122842 27498245684 54996491368 744643427767 1489286855534 2978573711068 5212503994369 5957147422136 9680364560971 10425007988738 19360729121942 20850015977476 38721458243884 41700031954952 67762551926797 77442916487768 135525103853594 271050207707188 542100415414376