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168741011682684 = 223271954165143223
BaseRepresentation
bin100110010111100000010100…
…000011110111010101111100
3211010110111001020022012002200
4212113200110003313111330
5134104123042442321214
61354514314533151500
750354064400523610
oct4627402403672574
9733414036265080
10168741011682684
1149847730031341
1216b1317b48b590
1373202945a567c
142d95173ba9340
15147951aab4d09
hex9978140f757c

168741011682684 has 144 divisors (see below), whose sum is σ = 514079055060480. Its totient is φ = 45589832484480.

The previous prime is 168741011682673. The next prime is 168741011682787. The reversal of 168741011682684 is 486286110147861.

168741011682684 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 410 + 116 + 8 + 26 + 84 = 666.

168741011682684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29981304 + ... + 35161919.

It is an arithmetic number, because the mean of its divisors is an integer number (3569993437920).

Almost surely, 2168741011682684 is an apocalyptic number.

168741011682684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

168741011682684 is an abundant number, since it is smaller than the sum of its proper divisors (345338043377796).

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

168741011682684 is a wasteful number, since it uses less digits than its factorization.

168741011682684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65143800 (or 65143795 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 168741011682684 in words is "one hundred sixty-eight trillion, seven hundred forty-one billion, eleven million, six hundred eighty-two thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 541 684 798 1082 1197 1596 1623 2164 2394 3246 3787 4788 4869 6492 7574 9738 10279 11361 15148 19476 20558 22722 30837 34083 41116 45444 61674 68166 71953 92511 123348 136332 143906 185022 215859 287812 370044 431718 647577 863436 1295154 2590308 65143223 130286446 195429669 260572892 390859338 456002561 586289007 781718676 912005122 1172578014 1237721237 1368007683 1824010244 2345156028 2475442474 2736015366 3713163711 4104023049 4950884948 5472030732 7426327422 8208046098 8664048659 11139491133 14852654844 16416092196 17328097318 22278982266 25992145977 34656194636 35242483643 44557964532 51984291954 70484967286 77976437931 103968583908 105727450929 140969934572 155952875862 211454901858 246697385501 311905751724 317182352787 422909803716 493394771002 634364705574 669607189217 740092156503 986789542004 1268729411148 1339214378434 1480184313006 2008821567651 2220276469509 2678428756868 2960368626012 4017643135302 4440552939018 4687250324519 6026464702953 8035286270604 8881105878036 9374500649038 12052929405906 14061750973557 18749001298076 24105858811812 28123501947114 42185252920671 56247003894228 84370505841342 168741011682684