Search a number
-
+
91374957312 = 283731739421
BaseRepresentation
bin101010100011001011…
…1110011001100000000
322201212002002202222020
41111012113303030000
52444113442113222
6105551014241440
76413233215312
oct1250627631400
9281762082866
1091374957312
113582a865951
1215861356280
1388029432a2
1445cb7717b2
15259be2665c
hex15465f3300

91374957312 has 144 divisors (see below), whose sum is σ = 247973321568. Its totient is φ = 29864263680.

The previous prime is 91374957281. The next prime is 91374957329. The reversal of 91374957312 is 21375947319.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9694362 + ... + 9703782.

Almost surely, 291374957312 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 91374957312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123986660784).

91374957312 is an abundant number, since it is smaller than the sum of its proper divisors (156598364256).

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

91374957312 is a wasteful number, since it uses less digits than its factorization.

91374957312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9686 (or 9672 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 51.

The spelling of 91374957312 in words is "ninety-one billion, three hundred seventy-four million, nine hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 173 192 219 256 292 346 384 438 519 584 692 768 876 1038 1168 1384 1752 2076 2336 2768 3504 4152 4672 5536 7008 8304 9344 9421 11072 12629 14016 16608 18688 18842 22144 25258 28032 28263 33216 37684 37887 44288 50516 56064 56526 66432 75368 75774 101032 113052 132864 150736 151548 202064 226104 301472 303096 404128 452208 602944 606192 687733 808256 904416 1205888 1212384 1375466 1616512 1629833 1808832 2063199 2411776 2424768 2750932 3233024 3259666 3617664 4126398 4849536 4889499 5501864 6519332 7235328 8252796 9699072 9778998 11003728 13038664 16505592 19557996 22007456 26077328 33011184 39115992 44014912 52154656 66022368 78231984 88029824 104309312 118977809 132044736 156463968 176059648 208618624 237955618 264089472 312927936 356933427 417237248 475911236 528178944 625855872 713866854 951822472 1251711744 1427733708 1903644944 2855467416 3807289888 5710934832 7614579776 11421869664 15229159552 22843739328 30458319104 45687478656 91374957312