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5044325520 = 2435132124367
BaseRepresentation
bin1001011001010101…
…00100110010010000
3111000112210021202010
410230222210302100
540312321404040
62152313222520
7236001026253
oct45452446220
914015707663
105044325520
112159432473
12b89401a40
136250ab200
1435bd1d09a
151e7caee80
hex12caa4c90

5044325520 has 120 divisors (see below), whose sum is σ = 16932951936. Its totient is φ = 1241670144.

The previous prime is 5044325483. The next prime is 5044325557. The reversal of 5044325520 is 255234405.

It is an interprime number because it is at equal distance from previous prime (5044325483) and next prime (5044325557).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 21624 + ... + 102743.

Almost surely, 25044325520 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 5044325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466475968).

5044325520 is an abundant number, since it is smaller than the sum of its proper divisors (11888626416).

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

5044325520 is a wasteful number, since it uses less digits than its factorization.

5044325520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124409 (or 124390 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 5044325520 is about 71023.4152938311. The cubic root of 5044325520 is about 1715.0141260839.

Adding to 5044325520 its reverse (255234405), we get a palindrome (5299559925).

The spelling of 5044325520 in words is "five billion, forty-four million, three hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 124367 248734 373101 497468 621835 746202 994936 1243670 1492404 1616771 1865505 1989872 2487340 2984808 3233542 3731010 4850313 4974680 5969616 6467084 7462020 8083855 9700626 9949360 12934168 14924040 16167710 19401252 21018023 24251565 25868336 29848080 32335420 38802504 42036046 48503130 63054069 64670840 77605008 84072092 97006260 105090115 126108138 129341680 168144184 194012520 210180230 252216276 315270345 336288368 388025040 420360460 504432552 630540690 840720920 1008865104 1261081380 1681441840 2522162760 5044325520