Search a number
-
+
44602680192 = 2737113146843
BaseRepresentation
bin101001100010100001…
…101110001110000000
311021010102210220202020
4221202201232032000
51212321241231232
632253514121440
73136203345330
oct514241561600
9137112726666
1044602680192
1117a09060874
128789420280
13428a7ca775
1422319a50c0
151260b08e2c
hexa6286e380

44602680192 has 128 divisors (see below), whose sum is σ = 136600162560. Its totient is φ = 12630761472.

The previous prime is 44602680181. The next prime is 44602680197. The reversal of 44602680192 is 29108620644.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44602680197) 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, 230323 + ... + 377165.

It is an arithmetic number, because the mean of its divisors is an integer number (1067188770).

Almost surely, 244602680192 is an apocalyptic number.

44602680192 is a gapful number since it is divisible by the number (42) 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 44602680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68300081280).

44602680192 is an abundant number, since it is smaller than the sum of its proper divisors (91997482368).

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

44602680192 is a wasteful number, since it uses less digits than its factorization.

44602680192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146980 (or 146968 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 44602680192 in words is "forty-four billion, six hundred two million, six hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 336 339 384 448 452 672 678 791 896 904 1344 1356 1582 1808 2373 2688 2712 3164 3616 4746 5424 6328 7232 9492 10848 12656 14464 18984 21696 25312 37968 43392 50624 75936 101248 146843 151872 293686 303744 440529 587372 881058 1027901 1174744 1762116 2055802 2349488 3083703 3524232 4111604 4698976 6167406 7048464 8223208 9397952 12334812 14096928 16446416 16593259 18795904 24669624 28193856 32892832 33186518 49339248 49779777 56387712 65785664 66373036 98678496 99559554 116152813 131571328 132746072 197356992 199119108 232305626 265492144 348458439 394713984 398238216 464611252 530984288 696916878 796476432 929222504 1061968576 1393833756 1592952864 1858445008 2123937152 2787667512 3185905728 3716890016 5575335024 6371811456 7433780032 11150670048 14867560064 22301340096 44602680192