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5415284384048 = 2471141107207879
BaseRepresentation
bin100111011001101100000…
…0110100010000100110000
3201011200210110221122200002
41032303120012202010300
51202211000300242143
615303425230045132
71066145536532450
oct116633006420460
921150713848602
105415284384048
1117a8677949910
127356279497a8
1330387513c626
1414a15b839d60
1595ce5da65b8
hex4ecd81a2130

5415284384048 has 80 divisors (see below), whose sum is σ = 13400127336960. Its totient is φ = 2058391257600.

The previous prime is 5415284383973. The next prime is 5415284384071. The reversal of 5415284384048 is 8404834825145.

It is a happy number.

It is a super-2 number, since 2×54152843840482 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 5415284383984 and 5415284384002.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53553428 + ... + 53654451.

It is an arithmetic number, because the mean of its divisors is an integer number (167501591712).

Almost surely, 25415284384048 is an apocalyptic number.

It is an amenable number.

5415284384048 is an abundant number, since it is smaller than the sum of its proper divisors (7984842952912).

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

5415284384048 is a wasteful number, since it uses less digits than its factorization.

5415284384048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107207946 (or 107207940 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 56.

The spelling of 5415284384048 in words is "five trillion, four hundred fifteen billion, two hundred eighty-four million, three hundred eighty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 616 656 902 1148 1232 1804 2296 3157 3608 4592 6314 7216 12628 25256 50512 107207879 214415758 428831516 750455153 857663032 1179286669 1500910306 1715326064 2358573338 3001820612 4395523039 4717146676 6003641224 8255006683 8791046078 9434293352 12007282448 16510013366 17582092156 18868586704 30768661273 33020026732 35164184312 48350753429 61537322546 66040053464 70328368624 96701506858 123074645092 132080106928 193403013716 246149290184 338455274003 386806027432 492298580368 676910548006 773612054864 1353821096012 2707642192024 5415284384048