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5378956544 = 281319257331
BaseRepresentation
bin1010000001001110…
…00101110100000000
3111212212110022012202
411000213011310000
542004003102134
62245425412332
7250203243023
oct50047056400
914785408182
105378956544
11231030a735
12106149a0a8
13679512b30
143905491ba
1521735ed7e
hex1409c5d00

5378956544 has 144 divisors (see below), whose sum is σ = 12255660480. Its totient is φ = 2335703040.

The previous prime is 5378956543. The next prime is 5378956577. The reversal of 5378956544 is 4456598735.

It is a self number, because there is not a number n which added to its sum of digits gives 5378956544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5378956543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16250459 + ... + 16250789.

Almost surely, 25378956544 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 5378956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127830240).

5378956544 is an abundant number, since it is smaller than the sum of its proper divisors (6876703936).

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

5378956544 is a wasteful number, since it uses less digits than its factorization.

5378956544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 622 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 56.

The square root of 5378956544 is about 73341.3699353919. The cubic root of 5378956544 is about 1752.1287340336.

The spelling of 5378956544 in words is "five billion, three hundred seventy-eight million, nine hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 257 304 331 416 494 514 608 662 832 988 1028 1216 1324 1664 1976 2056 2432 2648 3328 3341 3952 4112 4303 4864 4883 5296 6289 6682 7904 8224 8606 9766 10592 12578 13364 15808 16448 17212 19532 21184 25156 26728 31616 32896 34424 39064 42368 50312 53456 63232 63479 65792 68848 78128 81757 84736 85067 100624 106912 126958 137696 156256 163514 170134 201248 213824 253916 275392 312512 327028 340268 402496 427648 507832 550784 625024 654056 680536 804992 855296 1015664 1101568 1105871 1250048 1308112 1361072 1609984 1616273 2031328 2211742 2616224 2722144 3232546 4062656 4423484 5232448 5444288 6465092 8125312 8846968 10464896 10888576 12930184 16250624 17693936 20929792 21011549 21777152 25860368 35387872 42023098 51720736 70775744 84046196 103441472 141551488 168092392 206882944 283102976 336184784 413765888 672369568 1344739136 2689478272 5378956544