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2168902129760 = 255371289284227
BaseRepresentation
bin11111100011111100101…
…001000001100001100000
321200100022112000001020122
4133203330221001201200
5241013402421123020
64340214015455412
7312461262630242
oct37437451014140
97610275001218
102168902129760
1176690a788883
122b0420b27568
131296acc04ca2
1476d927c0092
153b641263125
hex1f8fca41860

2168902129760 has 96 divisors (see below), whose sum is σ = 5266619779680. Its totient is φ = 843455434752.

The previous prime is 2168902129733. The next prime is 2168902129783. The reversal of 2168902129760 is 679212098612.

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 15 ways as a sum of consecutive naturals, for example, 7488767 + ... + 7772993.

It is an arithmetic number, because the mean of its divisors is an integer number (54860622705).

Almost surely, 22168902129760 is an apocalyptic number.

2168902129760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168902129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633309889840).

2168902129760 is an abundant number, since it is smaller than the sum of its proper divisors (3097717649920).

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

2168902129760 is a wasteful number, since it uses less digits than its factorization.

2168902129760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285568 (or 285560 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 2168902129760 in words is "two trillion, one hundred sixty-eight billion, nine hundred two million, one hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1289 1480 2578 2960 5156 5920 6445 10312 12890 20624 25780 41248 47693 51560 95386 103120 190772 206240 238465 284227 381544 476930 568454 763088 953860 1136908 1421135 1526176 1907720 2273816 2842270 3815440 4547632 5684540 7630880 9095264 10516399 11369080 21032798 22738160 42065596 45476320 52581995 84131192 105163990 168262384 210327980 336524768 366368603 420655960 732737206 841311920 1465474412 1682623840 1831843015 2930948824 3663686030 5861897648 7327372060 11723795296 13555638311 14654744120 27111276622 29309488240 54222553244 58618976480 67778191555 108445106488 135556383110 216890212976 271112766220 433780425952 542225532440 1084451064880 2168902129760