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2670148096 = 2971189761
BaseRepresentation
bin1001111100100111…
…0011101000000000
320220002100120120221
42133021303220000
520432024214341
61120542312424
7123111612220
oct23711635000
96802316527
102670148096
111150257870
12626288714
13337263cb5
141b48a2080
15109639ed1
hex9f273a00

2670148096 has 160 divisors (see below), whose sum is σ = 6735104640. Its totient is φ = 1027276800.

The previous prime is 2670148057. The next prime is 2670148099. The reversal of 2670148096 is 6908410762.

It is not an unprimeable number, because it can be changed into a prime (2670148099) 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, 3508356 + ... + 3509116.

It is an arithmetic number, because the mean of its divisors is an integer number (42094404).

Almost surely, 22670148096 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 2670148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367552320).

2670148096 is an abundant number, since it is smaller than the sum of its proper divisors (4064956544).

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

2670148096 is an equidigital number, since it uses as much as digits as its factorization.

2670148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 2670148096 is about 51673.4757491694. The cubic root of 2670148096 is about 1387.3257583432.

The spelling of 2670148096 in words is "two billion, six hundred seventy million, one hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 89 112 128 154 176 178 224 256 308 352 356 448 512 616 623 704 712 761 896 979 1232 1246 1408 1424 1522 1792 1958 2464 2492 2816 2848 3044 3584 3916 4928 4984 5327 5632 5696 6088 6853 7832 8371 9856 9968 10654 11392 12176 13706 15664 16742 19712 19936 21308 22784 24352 27412 31328 33484 39424 39872 42616 45568 48704 54824 58597 62656 66968 67729 79744 85232 97408 109648 117194 125312 133936 135458 159488 170464 194816 219296 234388 250624 267872 270916 318976 340928 389632 438592 468776 474103 501248 535744 541832 681856 745019 877184 937552 948206 1071488 1083664 1363712 1490038 1754368 1875104 1896412 2142976 2167328 2727424 2980076 3508736 3750208 3792824 4285952 4334656 5215133 5960152 7500416 7585648 8669312 10430266 11920304 15000832 15171296 17338624 20860532 23840608 30001664 30342592 34677248 41721064 47681216 60685184 83442128 95362432 121370368 166884256 190724864 242740736 333768512 381449728 667537024 1335074048 2670148096