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2011151550520 = 23577399798689
BaseRepresentation
bin11101010001000001111…
…110010100100000111000
321010021010121110022102201
4131101001332110200320
5230422314244104040
64135524341235544
7265205132056120
oct35210176244070
97107117408381
102011151550520
11705a1968a842
12285936702bb4
1311785c9b1588
146d4a992dc80
15374ac005a9a
hex1d441f94838

2011151550520 has 128 divisors (see below), whose sum is σ = 5247686793600. Its totient is φ = 679402930176.

The previous prime is 2011151550493. The next prime is 2011151550521. The reversal of 2011151550520 is 250551511102.

It is a super-2 number, since 2×20111515505202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011151550521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20329336 + ... + 20428024.

It is an arithmetic number, because the mean of its divisors is an integer number (40997553075).

Almost surely, 22011151550520 is an apocalyptic number.

2011151550520 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 2011151550520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623843396800).

2011151550520 is an abundant number, since it is smaller than the sum of its proper divisors (3236535243080).

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

2011151550520 is a wasteful number, since it uses less digits than its factorization.

2011151550520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99777 (or 99773 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 28.

The spelling of 2011151550520 in words is "two trillion, eleven billion, one hundred fifty-one million, five hundred fifty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 997 1022 1460 1994 2044 2555 2920 3988 4088 4985 5110 6979 7976 9970 10220 13958 19940 20440 27916 34895 39880 55832 69790 72781 98689 139580 145562 197378 279160 291124 363905 394756 493445 509467 582248 690823 727810 789512 986890 1018934 1381646 1455620 1973780 2037868 2547335 2763292 2911240 3454115 3947560 4075736 5094670 5526584 6908230 7204297 10189340 13816460 14408594 20378680 27632920 28817188 36021485 50430079 57634376 72042970 98392933 100860158 144085940 196785866 201720316 252150395 288171880 393571732 403440632 491964665 504300790 688750531 787143464 983929330 1008601580 1377501062 1967858660 2017203160 2755002124 3443752655 3935717320 5510004248 6887505310 7182684109 13775010620 14365368218 27550021240 28730736436 35913420545 50278788763 57461472872 71826841090 100557577526 143653682180 201115155052 251393943815 287307364360 402230310104 502787887630 1005575775260 2011151550520