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70027978384 = 24721327272
BaseRepresentation
bin100000100110111111…
…1100010011010010000
320200202100222220000001
41001031333202122100
52121404130302014
652100450335344
75026233665200
oct1011577423220
9220670886001
1070027978384
1127775a71701
12116a428a554
1367b0192400
14356461a400
151c4ccda974
hex104dfe2690

70027978384 has 135 divisors (see below), whose sum is σ = 171141072777. Its totient is φ = 27665269632.

The previous prime is 70027978381. The next prime is 70027978417. The reversal of 70027978384 is 48387972007.

70027978384 = 13 + 23 + ... + 7273.

The square root of 70027978384 is 264628.

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., 10359168400 + 59668809984 = 101780^2 + 244272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70027978381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96324229 + ... + 96324955.

Almost surely, 270027978384 is an apocalyptic number.

70027978384 is the 264628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70027978384

70027978384 is an abundant number, since it is smaller than the sum of its proper divisors (101113094393).

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

70027978384 is an equidigital number, since it uses as much as digits as its factorization.

70027978384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 70027978384 in words is "seventy billion, twenty-seven million, nine hundred seventy-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 727 728 784 1183 1274 1352 1454 1456 2366 2548 2704 2908 4732 5089 5096 5816 8281 9451 9464 10178 10192 11632 16562 18902 18928 20356 33124 35623 37804 40712 66157 66248 71246 75608 81424 122863 132314 132496 142492 151216 245726 264628 284984 463099 491452 528529 529256 569968 860041 926198 982904 1057058 1058512 1720082 1852396 1965808 2114116 3440164 3699703 3704792 4228232 6020287 6870877 6880328 7399406 7409584 8456464 12040574 13741754 13760656 14798812 24081148 25897921 27483508 29597624 48096139 48162296 51795842 54967016 59195248 89321401 96192278 96324592 103591684 109934032 178642802 192384556 207183368 336672973 357285604 384769112 414366736 625249807 673345946 714571208 769538224 1250499614 1346691892 1429142416 2500999228 2693383784 4376748649 5001998456 5386767568 8753497298 10003996912 17506994596 35013989192 70027978384