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1991382055760 = 245149919181787
BaseRepresentation
bin11100111110100111100…
…111101011101101010000
321001101002211122220221002
4130332213213223231100
5230111322301241020
64122454524321132
7263605206121136
oct34764747535520
97041084586832
101991382055760
116a85a4289819
12281b399a31a8
13115a2bcb1b96
146c5520cb756
1536c0161c975
hex1cfa79ebb50

1991382055760 has 80 divisors (see below), whose sum is σ = 4666134384000. Its totient is φ = 790341539328.

The previous prime is 1991382055711. The next prime is 1991382055781. The reversal of 1991382055760 is 675502831991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1991382055696 and 1991382055705.

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, 10863587 + ... + 11045373.

It is an arithmetic number, because the mean of its divisors is an integer number (58326679800).

Almost surely, 21991382055760 is an apocalyptic number.

1991382055760 is a gapful number since it is divisible by the number (10) 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 1991382055760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333067192000).

1991382055760 is an abundant number, since it is smaller than the sum of its proper divisors (2674752328240).

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

1991382055760 is a wasteful number, since it uses less digits than its factorization.

1991382055760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182868 (or 182862 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 56.

The spelling of 1991382055760 in words is "one trillion, nine hundred ninety-one billion, three hundred eighty-two million, fifty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 919 1192 1490 1838 2384 2980 3676 4595 5960 7352 9190 11920 14704 18380 36760 73520 136931 181787 273862 363574 547724 684655 727148 908935 1095448 1369310 1454296 1817870 2190896 2738620 2908592 3635740 5477240 7271480 10954480 14542960 27086263 54172526 108345052 135431315 167062253 216690104 270862630 334124506 433380208 541725260 668249012 835311265 1083450520 1336498024 1670622530 2166901040 2672996048 3341245060 6682490120 13364980240 24892275697 49784551394 99569102788 124461378485 199138205576 248922756970 398276411152 497845513940 995691027880 1991382055760