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15516420960416 = 25798971995917
BaseRepresentation
bin1110000111001011001011…
…0000100111000010100000
32000221100121001111022102012
43201302302300213002200
54013210112231213131
653000051223012052
73161011243010225
oct341626260470240
960840531438365
1015516420960416
114a42528135642
1218a7229b9a028
138872663c367c
143b8dda92994c
151bd93ebe252b
hexe1cb2c270a0

15516420960416 has 96 divisors (see below), whose sum is σ = 31326051456000. Its totient is φ = 7563324966912.

The previous prime is 15516420960409. The next prime is 15516420960419. The reversal of 15516420960416 is 61406902461551.

It is not an unprimeable number, because it can be changed into a prime (15516420960419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161721290 + ... + 161817206.

It is an arithmetic number, because the mean of its divisors is an integer number (326313036000).

Almost surely, 215516420960416 is an apocalyptic number.

15516420960416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

15516420960416 is an abundant number, since it is smaller than the sum of its proper divisors (15809630495584).

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

15516420960416 is an equidigital number, since it uses as much as digits as its factorization.

15516420960416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96814 (or 96806 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

The spelling of 15516420960416 in words is "fifteen trillion, five hundred sixteen billion, four hundred twenty million, nine hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 79 89 158 178 316 356 632 712 719 1264 1424 1438 2528 2848 2876 5752 7031 11504 14062 23008 28124 56248 56801 63991 95917 112496 113602 127982 191834 224992 227204 255964 383668 454408 511928 767336 908816 1023856 1534672 1817632 2047712 3069344 5055289 7577443 8536613 10110578 15154886 17073226 20221156 30309772 34146452 40442312 60619544 68292904 68964323 80884624 121239088 136585808 137928646 161769248 242478176 273171616 275857292 551714584 674392427 1103429168 1348784854 2206858336 2697569708 5395139416 5448181517 6137824747 10790278832 10896363034 12275649494 21580557664 21792726068 24551298988 43585452136 49102597976 87170904272 98205195952 174341808544 196410391904 484888155013 969776310026 1939552620052 3879105240104 7758210480208 15516420960416