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27149416440 = 2335511344249
BaseRepresentation
bin11001010010001110…
…110011011111111000
32121002002102020212020
4121102032303133320
5421100222311230
620250002114440
71650534142416
oct312216633770
977062366766
1027149416440
1110572157453
12531834ba20
132738936c73
141457a182b6
15a8d74b810
hex6523b37f8

27149416440 has 64 divisors (see below), whose sum is σ = 81466020000. Its totient is φ = 7238264832.

The previous prime is 27149416433. The next prime is 27149416471. The reversal of 27149416440 is 4461494172.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27149416392 and 27149416401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591436 + ... + 635684.

Almost surely, 227149416440 is an apocalyptic number.

27149416440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27149416440 is an abundant number, since it is smaller than the sum of its proper divisors (54316603560).

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

27149416440 is a wasteful number, since it uses less digits than its factorization.

27149416440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49376 (or 49372 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

It can be divided in two parts, 271 and 49416440, that added together give a triangular number (49416711 = T9941).

The spelling of 27149416440 in words is "twenty-seven billion, one hundred forty-nine million, four hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5113 10226 15339 20452 25565 30678 40904 44249 51130 61356 76695 88498 102260 122712 132747 153390 176996 204520 221245 265494 306780 353992 442490 530988 613560 663735 884980 1061976 1327470 1769960 2654940 5309880 226245137 452490274 678735411 904980548 1131225685 1357470822 1809961096 2262451370 2714941644 3393677055 4524902740 5429883288 6787354110 9049805480 13574708220 27149416440