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211861135740 = 2235972375281
BaseRepresentation
bin1100010101001111101…
…0000110000101111100
3202020211222002210220010
43011103322012011330
511432342422320430
6241154435223220
721210054640452
oct3052372060574
9666758083803
10211861135740
11819390a7021
1235087a47b10
1316c947835a7
14a37b4b29d2
15579e914cb0
hex3153e8617c

211861135740 has 72 divisors (see below), whose sum is σ = 599391403632. Its totient is φ = 55913717760.

The previous prime is 211861135723. The next prime is 211861135807. The reversal of 211861135740 is 47531168112.

211861135740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 376900 + ... + 752180.

It is an arithmetic number, because the mean of its divisors is an integer number (8324880606).

Almost surely, 2211861135740 is an apocalyptic number.

211861135740 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 211861135740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299695701816).

211861135740 is an abundant number, since it is smaller than the sum of its proper divisors (387530267892).

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

211861135740 is a wasteful number, since it uses less digits than its factorization.

211861135740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375487 (or 375388 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 211861135740 in words is "two hundred eleven billion, eight hundred sixty-one million, one hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 9409 18818 28227 37636 47045 56454 94090 112908 141135 188180 282270 375281 564540 750562 1125843 1501124 1876405 2251686 3752810 4503372 5629215 7505620 11258430 22516860 36402257 72804514 109206771 145609028 182011285 218413542 364022570 436827084 546033855 728045140 1092067710 2184135420 3531018929 7062037858 10593056787 14124075716 17655094645 21186113574 35310189290 42372227148 52965283935 70620378580 105930567870 211861135740