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343561010106216 = 23376949294287813
BaseRepresentation
bin100111000011101111000011…
…1111101110100111101101000
31200001110010000111122002211210
41032013132013331310331220
5330012400422041344331
63214405425453353120
7132236315051160210
oct11607360775647550
91601403014562753
10343561010106216
119a518451651551
12326485131987a0
13119918834425b6
1460ba627add240
1529abc24b81446
hex1387787f74f68

343561010106216 has 64 divisors (see below), whose sum is σ = 981744147504000. Its totient is φ = 98146162453248.

The previous prime is 343561010106191. The next prime is 343561010106263. The reversal of 343561010106216 is 612601010165343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145976475 + ... + 148311338.

It is an arithmetic number, because the mean of its divisors is an integer number (15339752304750).

Almost surely, 2343561010106216 is an apocalyptic number.

It is an amenable number.

343561010106216 is an abundant number, since it is smaller than the sum of its proper divisors (638183137397784).

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

343561010106216 is a wasteful number, since it uses less digits than its factorization.

343561010106216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294294778 (or 294294774 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 343561010106216 in words is "three hundred forty-three trillion, five hundred sixty-one billion, ten million, one hundred six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 6949 13898 20847 27796 41694 48643 55592 83388 97286 145929 166776 194572 291858 389144 583716 1167432 294287813 588575626 882863439 1177151252 1765726878 2060014691 2354302504 3531453756 4120029382 6180044073 7062907512 8240058764 12360088146 16480117528 24720176292 49440352584 2045006012537 4090012025074 6135018037611 8180024050148 12270036075222 14315042087759 16360048100296 24540072150444 28630084175518 42945126263277 49080144300888 57260168351036 85890252526554 114520336702072 171780505053108 343561010106216