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515103112040 = 2351123138136857
BaseRepresentation
bin1110111111011101000…
…10011011101101101000
31211020120102101022001112
413133232202123231220
531414412344041130
61032345103205452
752133510132066
oct7375642335550
91736512338045
10515103112040
111894aa307080
12839b6ba6888
1339760159c6a
141ad07009036
15d5eba14495
hex77ee89bb68

515103112040 has 128 divisors (see below), whose sum is σ = 1320306635520. Its totient is φ = 179031705600.

The previous prime is 515103112021. The next prime is 515103112169. The reversal of 515103112040 is 40211301515.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 515103111997 and 515103112015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13957292 + ... + 13994148.

It is an arithmetic number, because the mean of its divisors is an integer number (10314895590).

Almost surely, 2515103112040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515103112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660153317760).

515103112040 is an abundant number, since it is smaller than the sum of its proper divisors (805203523480).

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

515103112040 is a wasteful number, since it uses less digits than its factorization.

515103112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38283 (or 38279 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 515103112040 its reverse (40211301515), we get a palindrome (555314413555).

The spelling of 515103112040 in words is "five hundred fifteen billion, one hundred three million, one hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 1381 2024 2530 2762 5060 5524 6905 10120 11048 13810 15191 27620 30382 31763 36857 55240 60764 63526 73714 75955 121528 127052 147428 151910 158815 184285 254104 294856 303820 317630 349393 368570 405427 607640 635260 698786 737140 810854 847711 1270520 1397572 1474280 1621708 1695422 1746965 2027135 2795144 3243416 3390844 3493930 4054270 4238555 6781688 6987860 8108540 8477110 9324821 13975720 16217080 16954220 18649642 33908440 37299284 46624105 50899517 74598568 93248210 101799034 186496420 203598068 254497585 372992840 407196136 508995170 559894687 1017990340 1119789374 1170688891 2035980680 2239578748 2341377782 2799473435 4479157496 4682755564 5598946870 5853444455 9365511128 11197893740 11706888910 12877577801 22395787480 23413777820 25755155602 46827555640 51510311204 64387889005 103020622408 128775778010 257551556020 515103112040