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150411020020 = 225171017395927
BaseRepresentation
bin1000110000010100110…
…0100000011011110100
3112101020101212111100021
42030011030200123310
54431020210120040
6153033050054524
713603216401232
oct2140514403364
9471211774307
10150411020020
1158875110618
122519841a444
131125077b981
1473cc1c3952
153da4c1d24a
hex23053206f4

150411020020 has 96 divisors (see below), whose sum is σ = 338268752640. Its totient is φ = 55979366400.

The previous prime is 150411019961. The next prime is 150411020027. The reversal of 150411020020 is 20020114051.

It is a junction number, because it is equal to n+sod(n) for n = 150411019976 and 150411020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150411020027) 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, 25374297 + ... + 25380223.

It is an arithmetic number, because the mean of its divisors is an integer number (3523632840).

Almost surely, 2150411020020 is an apocalyptic number.

150411020020 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 150411020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169134376320).

150411020020 is an abundant number, since it is smaller than the sum of its proper divisors (187857732620).

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

150411020020 is a wasteful number, since it uses less digits than its factorization.

150411020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 150411020020 its reverse (20020114051), we get a palindrome (170431134071).

The spelling of 150411020020 in words is "one hundred fifty billion, four hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 739 1010 1478 1717 2020 2956 3434 3695 5927 6868 7390 8585 11854 12563 14780 17170 23708 25126 29635 34340 50252 59270 62815 74639 100759 118540 125630 149278 201518 251260 298556 373195 403036 503795 598627 746390 1007590 1197254 1268863 1492780 2015180 2394508 2537726 2993135 4380053 5075452 5986270 6344315 8760106 10176659 11972540 12688630 17520212 20353318 21900265 25377260 40706636 43800530 50883295 74460901 87601060 101766590 148921802 203533180 297843604 372304505 442385353 744609010 884770706 1489218020 1769541412 2211926765 4423853530 7520551001 8847707060 15041102002 30082204004 37602755005 75205510010 150411020020