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2173361990040 = 2333519105914327
BaseRepresentation
bin11111101000000110011…
…110000010100110011000
321200202211100000102102000
4133220012132002212120
5241102021132140130
64342232334041000
7313006636051323
oct37500636024630
97622740012360
102173361990040
1176879920291a
122b1266649160
13129c40b96477
1477296c3b7ba
153b802a73260
hex1fa06782998

2173361990040 has 128 divisors (see below), whose sum is σ = 7625831616000. Its totient is φ = 549059865984.

The previous prime is 2173361989973. The next prime is 2173361990057. The reversal of 2173361990040 is 400991633712.

2173361990040 is a `hidden beast` number, since 21 + 7 + 3 + 3 + 619 + 9 + 0 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52936644 + ... + 52977683.

It is an arithmetic number, because the mean of its divisors is an integer number (59576809500).

Almost surely, 22173361990040 is an apocalyptic number.

2173361990040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2173361990040 is an abundant number, since it is smaller than the sum of its proper divisors (5452469625960).

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

2173361990040 is a wasteful number, since it uses less digits than its factorization.

2173361990040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105914366 (or 105914356 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 2173361990040 in words is "two trillion, one hundred seventy-three billion, three hundred sixty-one million, nine hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 105914327 211828654 317742981 423657308 529571635 635485962 847314616 953228943 1059143270 1270971924 1588714905 1906457886 2012372213 2118286540 2541943848 2859686829 3177429810 3812915772 4024744426 4236573080 4766144715 5719373658 6037116639 6354859620 7625831544 8049488852 9532289430 10061861065 11438747316 12074233278 12709719240 14298434145 16098977704 18111349917 19064578860 20123722130 22877494632 24148466556 28596868290 30185583195 36222699834 38129157720 40247444260 48296933112 54334049751 57193736580 60371166390 72445399668 80494888520 90556749585 108668099502 114387473160 120742332780 144890799336 181113499170 217336199004 241484665560 271670248755 362226998340 434672398008 543340497510 724453996680 1086680995020 2173361990040