Search a number
-
+
44968758720 = 2635311511047
BaseRepresentation
bin101001111000010110…
…001100110111000000
311022001221122122002020
4221320112030313000
51214044000234340
632354112321440
73151240066554
oct517026146700
9138057578066
1044968758720
1118086768006
12886bb43280
1343185c3192
142268459864
151282d1b9d0
hexa7858cdc0

44968758720 has 112 divisors (see below), whose sum is σ = 147381577728. Its totient is φ = 11604833280.

The previous prime is 44968758719. The next prime is 44968758727. The reversal of 44968758720 is 2785786944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44968758727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725764 + ... + 785283.

It is an arithmetic number, because the mean of its divisors is an integer number (1315906944).

Almost surely, 244968758720 is an apocalyptic number.

44968758720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44968758720 is an abundant number, since it is smaller than the sum of its proper divisors (102412819008).

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

44968758720 is a wasteful number, since it uses less digits than its factorization.

44968758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511098 (or 1511088 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 44968758720 in words is "forty-four billion, nine hundred sixty-eight million, seven hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 1511047 3022094 4533141 6044188 7555235 9066282 12088376 15110470 18132564 22665705 24176752 30220940 36265128 45331410 46842457 48353504 60441880 72530256 90662820 93684914 96707008 120883760 140527371 145060512 181325640 187369828 234212285 241767520 281054742 290121024 362651280 374739656 468424570 483535040 562109484 702636855 725302560 749479312 936849140 1124218968 1405273710 1450605120 1498958624 1873698280 2248437936 2810547420 2997917248 3747396560 4496875872 5621094840 7494793120 8993751744 11242189680 14989586240 22484379360 44968758720