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166316521712 = 241110727731883
BaseRepresentation
bin1001101011100100111…
…1001011100011110000
3120220021212212200211112
42122321033023203300
510211104012143322
6204223232132452
715005323052255
oct2327117134360
9526255780745
10166316521712
1164597382440
1228297097128
13128b6a99633
14809a79742c
1544d62995e2
hex26b93cb8f0

166316521712 has 80 divisors (see below), whose sum is σ = 356110100352. Its totient is φ = 74619183360.

The previous prime is 166316521703. The next prime is 166316521727. The reversal of 166316521712 is 217125613661.

It is a happy number.

It is a super-2 number, since 2×1663165217122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166316521712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5200523 + ... + 5232405.

Almost surely, 2166316521712 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 166316521712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178055050176).

166316521712 is an abundant number, since it is smaller than the sum of its proper divisors (189793578640).

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

166316521712 is a wasteful number, since it uses less digits than its factorization.

166316521712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32286 (or 32280 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The spelling of 166316521712 in words is "one hundred sixty-six billion, three hundred sixteen million, five hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 277 428 554 856 1108 1177 1712 2216 2354 3047 4432 4708 6094 9416 12188 18832 24376 29639 31883 48752 59278 63766 118556 127532 237112 255064 326029 350713 474224 510128 652058 701426 1304116 1402852 2608232 2805704 3411481 5216464 5611408 6822962 8831591 13645924 17663182 27291848 35326364 37526291 54583696 70652728 75052582 97147501 141305456 150105164 194295002 300210328 388590004 600420656 777180008 944980237 1554360016 1889960474 3779920948 7559841896 10394782607 15119683792 20789565214 41579130428 83158260856 166316521712