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150416989560 = 23325478889893
BaseRepresentation
bin1000110000010110001…
…1010001110101111000
3112101020211002210000100
42030011203101311320
54431023222131220
6153033422035400
713603321213155
oct2140543216570
9471224083010
10150416989560
1158878518622
122519a418b60
1311251a8bb46
1473cccd922c
153da54ebd90
hex23058d1d78

150416989560 has 96 divisors (see below), whose sum is σ = 499256447040. Its totient is φ = 39257763072.

The previous prime is 150416989549. The next prime is 150416989561. The reversal of 150416989560 is 65989614051.

150416989560 is a `hidden beast` number, since 1 + 50 + 416 + 98 + 95 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 150416989497 and 150416989506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150416989561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4428027 + ... + 4461866.

It is an arithmetic number, because the mean of its divisors is an integer number (5200587990).

Almost surely, 2150416989560 is an apocalyptic number.

150416989560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150416989560 is an abundant number, since it is smaller than the sum of its proper divisors (348839457480).

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

150416989560 is a wasteful number, since it uses less digits than its factorization.

150416989560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8889957 (or 8889950 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 150416989560 in words is "one hundred fifty billion, four hundred sixteen million, nine hundred eighty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 8889893 17779786 26669679 35559572 44449465 53339358 71119144 80009037 88898930 106678716 133348395 160018074 177797860 213357432 266696790 320036148 355595720 400045185 417824971 533393580 640072296 800090370 835649942 1066787160 1253474913 1600180740 1671299884 2089124855 2506949826 3200361480 3342599768 3760424739 4178249710 5013899652 6267374565 7520849478 8356499420 10027799304 12534749130 15041698956 16712998840 18802123695 25069498260 30083397912 37604247390 50138996520 75208494780 150416989560