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163116120225402 = 2361451539914281
BaseRepresentation
bin100101000101101001101110…
…011001110011011001111010
3210101112202012212122222000000
4211011221232121303121322
5132334443303234203102
61334530302224053430
746233515343154221
oct4505515631633172
9711482185588000
10163116120225402
1147a79181490a93
1216364bb6764276
137002a26992676
142c3cc103abcb8
1513cd05814401c
hex945a6e67367a

163116120225402 has 112 divisors (see below), whose sum is σ = 367189980062400. Its totient is φ = 54320700168000.

The previous prime is 163116120225391. The next prime is 163116120225481. The reversal of 163116120225402 is 204522021611361.

163116120225402 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 1 + 6 + 1 + 20 + 225 + 402 = 666.

It is a super-2 number, since 2×1631161202254022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11421890502 + ... + 11421904782.

Almost surely, 2163116120225402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163116120225402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183594990031200).

163116120225402 is an abundant number, since it is smaller than the sum of its proper divisors (204073859836998).

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

163116120225402 is a wasteful number, since it uses less digits than its factorization.

163116120225402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21151 (or 21136 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 163116120225402 its reverse (204522021611361), we get a palindrome (367638141836763).

The spelling of 163116120225402 in words is "one hundred sixty-three trillion, one hundred sixteen billion, one hundred twenty million, two hundred twenty-five thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1451 1458 2902 4353 5399 8706 10798 13059 14281 16197 26118 28562 32394 39177 42843 48591 78354 85686 97182 117531 128529 145773 235062 257058 291546 352593 385587 437319 705186 771174 874638 1057779 1156761 1311957 2115558 2313522 2623914 3470283 3935871 6940566 7833949 7871742 10410849 15667898 20721731 20821698 23501847 41443462 47003694 62165193 70505541 77103119 124330386 141011082 154206238 186495579 211516623 231309357 372991158 423033246 462618714 559486737 634549869 693928071 1118973474 1269099738 1387856142 1678460211 1903649607 2081784213 3356920422 3807299214 4163568426 5035380633 5710948821 6245352639 10070761266 11421897642 12490705278 15106141899 18736057917 30212283798 37472115834 56208173751 111876625669 112416347502 223753251338 335629877007 671259754014 1006889631021 2013779262042 3020668893063 6041337786126 9062006679189 18124013358378 27186020037567 54372040075134 81558060112701 163116120225402