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104384131506480 = 2435762133411611
BaseRepresentation
bin10111101110111111010011…
…000101000010000100110000
3111200121000200121012121101110
4113232333103011002010300
5102140212200131201410
61010001224044033320
730662335042113030
oct2756772305020460
9450530617177343
10104384131506480
1130295074a46091
12b85a416532840
1346324c5b1bb77
141bac30ca158c0
15c1040dea7720
hex5eefd3142130

104384131506480 has 80 divisors (see below), whose sum is σ = 369818065914624. Its totient is φ = 23859230058240.

The previous prime is 104384131506437. The next prime is 104384131506521. The reversal of 104384131506480 is 84605131483401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1043841315064802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31066704126 + ... + 31066707485.

Almost surely, 2104384131506480 is an apocalyptic number.

104384131506480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104384131506480 is an abundant number, since it is smaller than the sum of its proper divisors (265433934408144).

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

104384131506480 is a wasteful number, since it uses less digits than its factorization.

104384131506480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62133411634 (or 62133411628 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

Adding to 104384131506480 its reverse (84605131483401), we get a palindrome (188989262989881).

The spelling of 104384131506480 in words is "one hundred four trillion, three hundred eighty-four billion, one hundred thirty-one million, five hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 62133411611 124266823222 186400234833 248533646444 310667058055 372800469666 434933881277 497067292888 621334116110 745600939332 869867762554 932001174165 994134585776 1242668232220 1304801643831 1491201878664 1739735525108 1864002348330 2174669406385 2485336464440 2609603287662 2982403757328 3479471050216 3728004696660 4349338812770 4970672928880 5219206575324 6524008219155 6958942100432 7456009393320 8698677625540 10438413150648 13048016438310 14912018786640 17397355251080 20876826301296 26096032876620 34794710502160 52192065753240 104384131506480