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162106641161256 = 233115571871589207
BaseRepresentation
bin100100110110111101100100…
…110000110001110000101000
3210020222020120112201012001010
4210312331210300301300220
5132221423400114130011
61332434432440223520
746100550454534521
oct4466754460616050
9706866515635033
10162106641161256
114771a049907990
121622142a16aba0
136c5b78a911b3c
142c06009087848
1513b1b746211a6
hex936f64c31c28

162106641161256 has 128 divisors (see below), whose sum is σ = 443140225781760. Its totient is φ = 49008740985600.

The previous prime is 162106641161243. The next prime is 162106641161273. The reversal of 162106641161256 is 652161146601261.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274832205 + ... + 275421411.

It is an arithmetic number, because the mean of its divisors is an integer number (3462033013920).

Almost surely, 2162106641161256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162106641161256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221570112890880).

162106641161256 is an abundant number, since it is smaller than the sum of its proper divisors (281033584620504).

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

162106641161256 is a wasteful number, since it uses less digits than its factorization.

162106641161256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591655 (or 591651 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 162106641161256 in words is "one hundred sixty-two trillion, one hundred six billion, six hundred forty-one million, one hundred sixty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 557 1114 1671 1871 2228 3342 3742 4456 5613 6127 6684 7484 11226 12254 13368 14968 18381 20581 22452 24508 36762 41162 44904 49016 61743 73524 82324 123486 147048 164648 246972 493944 589207 1042147 1178414 1767621 2084294 2356828 3126441 3535242 4168588 4713656 6252882 6481277 7070484 8337176 11463617 12505764 12962554 14140968 19443831 22927234 25011528 25925108 34390851 38887662 45854468 51850216 68781702 77775324 91708936 137563404 155550648 275126808 328188299 656376598 984564897 1102406297 1312753196 1969129794 2204812594 2625506392 3307218891 3610071289 3938259588 4409625188 6614437782 7220142578 7876519176 8819250376 10830213867 12126469267 13228875564 14440285156 21660427734 24252938534 26457751128 28880570312 36379407801 43320855468 48505877068 72758815602 86641710936 97011754136 145517631204 291035262408 614040307429 1228080614858 1842120922287 2456161229716 3684241844574 4912322459432 6754443381719 7368483689148 13508886763438 14736967378296 20263330145157 27017773526876 40526660290314 54035547053752 81053320580628 162106641161256