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70772249088 = 293239192
BaseRepresentation
bin100000111101001011…
…0101101001000000000
320202200020110202110200
41001322112231020000
52124420143432323
652302354525200
75053542122502
oct1017226551000
9222606422420
1070772249088
11280180a9262
1211871596800
13689b432188
1435d53d9d72
151c93305443
hex107a5ad200

70772249088 has 90 divisors (see below), whose sum is σ = 204305634819. Its totient is φ = 23584730112.

The previous prime is 70772249039. The next prime is 70772249117. The reversal of 70772249088 is 88094227707.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

70772249088 is a `hidden beast` number, since 7 + 0 + 7 + 72 + 2 + 490 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35386124544 + 35386124544 = 188112^2 + 188112^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=188112.

It is a super-2 number, since 2×707722490882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18056793 + ... + 18060711.

Almost surely, 270772249088 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 70772249088

70772249088 is an abundant number, since it is smaller than the sum of its proper divisors (133533385731).

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

70772249088 is an frugal number, since it uses more digits than its factorization.

70772249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7862 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 70772249088 in words is "seventy billion, seven hundred seventy-two million, two hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 3919 4608 7838 11757 15676 23514 31352 35271 47028 62704 70542 94056 125408 141084 188112 250816 282168 376224 501632 564336 752448 1003264 1128672 1504896 2006528 2257344 3009792 4514688 6019584 9029376 15358561 18058752 30717122 46075683 61434244 92151366 122868488 138227049 184302732 245736976 276454098 368605464 491473952 552908196 737210928 982947904 1105816392 1474421856 1965895808 2211632784 2948843712 3931791616 4423265568 5897687424 7863583232 8846531136 11795374848 17693062272 23590749696 35386124544 70772249088