Search a number
-
+
919325076032 = 261113191910847
BaseRepresentation
bin11010110000011000000…
…10110110101001000000
310020212221100022122212002
431120030002312221000
5110030234204413112
61542155422523132
7123263506133036
oct15301402665100
93225840278762
10919325076032
1132497a047510
1212a2081364a8
13688cc39433c
14326d1bc0556
1518da8dca1c2
hexd60c0b6a40

919325076032 has 112 divisors (see below), whose sum is σ = 2007688826880. Its totient is φ = 414195724800.

The previous prime is 919325076031. The next prime is 919325076053. The reversal of 919325076032 is 230670523919.

It is not an unprimeable number, because it can be changed into a prime (919325076031) 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, 84748433 + ... + 84759279.

Almost surely, 2919325076032 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 919325076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003844413440).

919325076032 is an abundant number, since it is smaller than the sum of its proper divisors (1088363750848).

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

919325076032 is a wasteful number, since it uses less digits than its factorization.

919325076032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 47.

The spelling of 919325076032 in words is "nine hundred nineteen billion, three hundred twenty-five million, seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 131 176 262 352 524 704 919 1048 1441 1838 2096 2882 3676 4192 5764 7352 8384 10109 10847 11528 14704 20218 21694 23056 29408 40436 43388 46112 58816 80872 86776 92224 119317 120389 161744 173552 238634 240778 323488 347104 477268 481556 646976 694208 954536 963112 1324279 1420957 1909072 1926224 2648558 2841914 3818144 3852448 5297116 5683828 7636288 7704896 9968393 10594232 11367656 15630527 19936786 21188464 22735312 31261054 39873572 42376928 45470624 62522108 79747144 84753856 90941248 109652323 125044216 159494288 219304646 250088432 318988576 438609292 500176864 637977152 877218584 1000353728 1305859483 1754437168 2611718966 3508874336 5223437932 7017748672 10446875864 14364454313 20893751728 28728908626 41787503456 57457817252 83575006912 114915634504 229831269008 459662538016 919325076032