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5444255376 = 243372962081
BaseRepresentation
bin1010001001000000…
…01011111010010000
3112001102022211101000
411010200023322100
542122212133001
62300121142000
7251625256440
oct50440137220
915042284330
105444255376
11234415a70a
12107b32a900
13689bc68b1
143990a6120
1521ce5ca86
hex14480be90

5444255376 has 160 divisors (see below), whose sum is σ = 18475603200. Its totient is φ = 1501839360.

The previous prime is 5444255339. The next prime is 5444255441. The reversal of 5444255376 is 6735524445.

5444255376 is a `hidden beast` number, since 54 + 4 + 42 + 553 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56656 + ... + 118736.

It is an arithmetic number, because the mean of its divisors is an integer number (115472520).

Almost surely, 25444255376 is an apocalyptic number.

5444255376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5444255376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9237801600).

5444255376 is an abundant number, since it is smaller than the sum of its proper divisors (13031347824).

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

5444255376 is a wasteful number, since it uses less digits than its factorization.

5444255376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62134 (or 62122 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 45.

The square root of 5444255376 is about 73785.1975398860. The cubic root of 5444255376 is about 1759.1903317795.

The spelling of 5444255376 in words is "five billion, four hundred forty-four million, two hundred fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1624 1827 2088 2436 3024 3132 3248 3654 4176 4872 5481 6264 7308 9744 10962 12528 14616 21924 29232 43848 62081 87696 124162 186243 248324 372486 434567 496648 558729 744972 869134 993296 1117458 1303701 1489944 1676187 1738268 1800349 2234916 2607402 2979888 3352374 3476536 3600698 3911103 4469832 5214804 5401047 6704748 6953072 7201396 7822206 8939664 10429608 10802094 11733309 12602443 13409496 14402792 15644412 16203141 20859216 21604188 23466618 25204886 26818992 28805584 31288824 32406282 37807329 43208376 46933236 48609423 50409772 62577648 64812564 75614658 86416752 93866472 97218846 100819544 113421987 129625128 151229316 187732944 194437692 201639088 226843974 259250256 302458632 340265961 388875384 453687948 604917264 680531922 777750768 907375896 1361063844 1814751792 2722127688 5444255376