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44912480080 = 245133318243
BaseRepresentation
bin101001110100111111…
…100000111101010000
311021221000202101022011
4221310333200331100
51213440043330310
632344342152304
73146654532106
oct516477407520
9137830671264
1044912480080
1118057a19036
128855122694
134309a4a000
142260ba9c76
15127ce0178a
hexa74fe0f50

44912480080 has 160 divisors (see below), whose sum is σ = 116782525440. Its totient is φ = 16046184960.

The previous prime is 44912480077. The next prime is 44912480099. The reversal of 44912480080 is 8008421944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5444439 + ... + 5452681.

It is an arithmetic number, because the mean of its divisors is an integer number (729890784).

Almost surely, 244912480080 is an apocalyptic number.

44912480080 is a gapful number since it is divisible by the number (40) 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 44912480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58391262720).

44912480080 is an abundant number, since it is smaller than the sum of its proper divisors (71870045360).

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

44912480080 is a wasteful number, since it uses less digits than its factorization.

44912480080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 44912480080 in words is "forty-four billion, nine hundred twelve million, four hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 169 208 248 260 310 338 403 496 520 620 676 806 845 1040 1240 1352 1612 1690 2015 2197 2480 2704 3224 3380 4030 4394 5239 6448 6760 8060 8243 8788 10478 10985 13520 16120 16486 17576 20956 21970 26195 32240 32972 35152 41215 41912 43940 52390 65944 68107 82430 83824 87880 104780 107159 131888 136214 164860 175760 209560 214318 255533 272428 329720 340535 419120 428636 511066 535795 544856 659440 681070 857272 1022132 1071590 1089712 1277665 1362140 1393067 1714544 2044264 2143180 2555330 2724280 2786134 3321929 4088528 4286360 5110660 5448560 5572268 6643858 6965335 8572720 10221320 11144536 13287716 13930670 16609645 18109871 20442640 22289072 26575432 27861340 33219290 36219742 43185077 53150864 55722680 66438580 72439484 86370154 90549355 111445360 132877160 144878968 172740308 181098710 215925385 265754320 289757936 345480616 362197420 431850770 561406001 690961232 724394840 863701540 1122812002 1448789680 1727403080 2245624004 2807030005 3454806160 4491248008 5614060010 8982496016 11228120020 22456240040 44912480080