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7057106848 = 251129231769
BaseRepresentation
bin1101001001010001…
…01110011110100000
3200012211012011122201
412210220232132200
5103423104404343
63124134142544
7336611263351
oct64450563640
920184164581
107057106848
112aa1609910
12144b4b1a54
138860ac08c
144ad383d28
152b484994d
hex1a4a2e7a0

7057106848 has 144 divisors (see below), whose sum is σ = 16224848640. Its totient is φ = 2993356800.

The previous prime is 7057106821. The next prime is 7057106869. The reversal of 7057106848 is 8486017507.

It is a junction number, because it is equal to n+sod(n) for n = 7057106798 and 7057106807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9176608 + ... + 9177376.

It is an arithmetic number, because the mean of its divisors is an integer number (112672560).

Almost surely, 27057106848 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 7057106848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112424320).

7057106848 is an abundant number, since it is smaller than the sum of its proper divisors (9167741792).

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

7057106848 is a wasteful number, since it uses less digits than its factorization.

7057106848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 7057106848 is about 84006.5881225991. The cubic root of 7057106848 is about 1918.1190752022.

The spelling of 7057106848 in words is "seven billion, fifty-seven million, one hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 29 31 32 44 58 62 88 116 124 176 232 248 319 341 352 464 496 638 682 769 841 899 928 992 1276 1364 1538 1682 1798 2552 2728 3076 3364 3596 5104 5456 6152 6728 7192 8459 9251 9889 10208 10912 12304 13456 14384 16918 18502 19778 22301 23839 24608 26071 26912 28768 33836 37004 39556 44602 47678 52142 67672 74008 79112 89204 95356 104284 135344 148016 158224 178408 190712 208568 245311 262229 270688 286781 296032 316448 356816 381424 417136 490622 524458 573562 646729 691331 713632 762848 834272 981244 1048916 1147124 1293458 1382662 1962488 2097832 2294248 2586916 2765324 3924976 4195664 4588496 5173832 5530648 7114019 7604641 7849952 8391328 9176992 10347664 11061296 14228038 15209282 20048599 20695328 22122592 28456076 30418564 40097198 56912152 60837128 80194396 113824304 121674256 160388792 220534589 227648608 243348512 320777584 441069178 641555168 882138356 1764276712 3528553424 7057106848