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70116921616 = 24761932
BaseRepresentation
bin100000101001101001…
…0110101000100010000
320200222120100200011211
41001103102311010100
52122044412442431
652113344545504
75031364000000
oct1012322650420
9220876320154
1070116921616
11278111a1005
121170a022294
1367c5734341
143572370000
151c55a092b1
hex10534b5110

70116921616 has 105 divisors (see below), whose sum is σ = 159318729381. Its totient is φ = 29894409216.

The previous prime is 70116921613. The next prime is 70116921649. The reversal of 70116921616 is 61612961107.

The square root of 70116921616 is 264796.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16988515600 + 53128406016 = 130340^2 + 230496^2 .

It is not an unprimeable number, because it can be changed into a prime (70116921613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 363300016 + ... + 363300208.

Almost surely, 270116921616 is an apocalyptic number.

70116921616 is the 264796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70116921616

70116921616 is an abundant number, since it is smaller than the sum of its proper divisors (89201807765).

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

70116921616 is an frugal number, since it uses more digits than its factorization.

70116921616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 70116921616 in words is "seventy billion, one hundred sixteen million, nine hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 193 196 343 386 392 686 772 784 1351 1372 1544 2401 2702 2744 3088 4802 5404 5488 9457 9604 10808 16807 18914 19208 21616 33614 37249 37828 38416 66199 67228 74498 75656 117649 132398 134456 148996 151312 235298 260743 264796 268912 297992 463393 470596 521486 529592 595984 926786 941192 1042972 1059184 1825201 1853572 1882384 2085944 3243751 3650402 3707144 4171888 6487502 7300804 7414288 12776407 12975004 14601608 22706257 25552814 25950008 29203216 45412514 51105628 51900016 89434849 90825028 102211256 178869698 181650056 204422512 357739396 363300112 626043943 715478792 1252087886 1430957584 2504175772 4382307601 5008351544 8764615202 10016703088 17529230404 35058460808 70116921616