Search a number
-
+
674450034432 = 2837927774003
BaseRepresentation
bin10011101000010000101…
…10101100111100000000
32101110212120201122222220
421310020112230330000
542022233202100212
61233501004531040
766504333462666
oct11641026547400
92343776648886
10674450034432
1124003a509379
12aa867b50a80
134b7a6005b15
1424901cbac36
1512825e9c38c
hex9d085acf00

674450034432 has 144 divisors (see below), whose sum is σ = 1818851274240. Its totient is φ = 221835534336.

The previous prime is 674450034383. The next prime is 674450034439. The reversal of 674450034432 is 234430054476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674450034439) 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, 168484143 + ... + 168488145.

Almost surely, 2674450034432 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 674450034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909425637120).

674450034432 is an abundant number, since it is smaller than the sum of its proper divisors (1144401239808).

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

674450034432 is a wasteful number, since it uses less digits than its factorization.

674450034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 674450034432 in words is "six hundred seventy-four billion, four hundred fifty million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 2777 3792 4003 5056 5554 7584 8006 8331 10112 11108 12009 15168 16012 16662 20224 22216 24018 30336 32024 33324 44432 48036 60672 64048 66648 88864 96072 128096 133296 177728 192144 219383 256192 266592 316237 355456 384288 438766 512384 533184 632474 658149 710912 768576 877532 948711 1024768 1066368 1264948 1316298 1537152 1755064 1897422 2132736 2529896 2632596 3074304 3510128 3794844 5059792 5265192 7020256 7589688 10119584 10530384 11116331 14040512 15179376 20239168 21060768 22232662 28081024 30358752 33348993 40478336 42121536 44465324 56162048 60717504 66697986 80956672 84243072 88930648 121435008 133395972 168486144 177861296 242870016 266791944 355722592 533583888 711445184 878190149 1067167776 1422890368 1756380298 2134335552 2634570447 2845780736 3512760596 4268671104 5269140894 7025521192 8537342208 10538281788 14051042384 21076563576 28102084768 42153127152 56204169536 84306254304 112408339072 168612508608 224816678144 337225017216 674450034432