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5378977120 = 255113782601
BaseRepresentation
bin1010000001001110…
…01010110101100000
3111212212111100102211
411000213022311200
542004004231440
62245430051504
7250203360016
oct50047126540
914785440384
105378977120
112310324140
1210614a9b94
1367951c2ca
143905528b6
15217365eea
hex1409cad60

5378977120 has 96 divisors (see below), whose sum is σ = 14237941536. Its totient is φ = 1903104000.

The previous prime is 5378977091. The next prime is 5378977171. The reversal of 5378977120 is 217798735.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23820 + ... + 106420.

It is an arithmetic number, because the mean of its divisors is an integer number (148311891).

Almost surely, 25378977120 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 5378977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118970768).

5378977120 is an abundant number, since it is smaller than the sum of its proper divisors (8858964416).

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

5378977120 is a wasteful number, since it uses less digits than its factorization.

5378977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82664 (or 82656 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The square root of 5378977120 is about 73341.5102107940. The cubic root of 5378977120 is about 1752.1309681568.

The spelling of 5378977120 in words is "five billion, three hundred seventy-eight million, nine hundred seventy-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 352 370 407 440 592 740 814 880 1184 1480 1628 1760 2035 2960 3256 4070 5920 6512 8140 13024 16280 32560 65120 82601 165202 330404 413005 660808 826010 908611 1321616 1652020 1817222 2643232 3056237 3304040 3634444 4543055 6112474 6608080 7268888 9086110 12224948 13216160 14537776 15281185 18172220 24449896 29075552 30562370 33618607 36344440 48899792 61124740 67237214 72688880 97799584 122249480 134474428 145377760 168093035 244498960 268948856 336186070 488997920 537897712 672372140 1075795424 1344744280 2689488560 5378977120