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70106733340 = 22572160144683
BaseRepresentation
bin100000101001010101…
…1111101101100011100
320200221212012001111021
41001102223331230130
52122034310431330
652112342333524
75031211254400
oct1012253755434
9220855161437
1070106733340
1127806472446
121170672a2a4
1367c35a7b87
143570c7b100
151c54b9567a
hex1052afdb1c

70106733340 has 72 divisors (see below), whose sum is σ = 171371540592. Its totient is φ = 24021043200.

The previous prime is 70106733331. The next prime is 70106733353. The reversal of 70106733340 is 4333760107.

It is a junction number, because it is equal to n+sod(n) for n = 70106733296 and 70106733305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546639 + ... + 1591321.

It is an arithmetic number, because the mean of its divisors is an integer number (2380160286).

Almost surely, 270106733340 is an apocalyptic number.

70106733340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70106733340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85685770296).

70106733340 is an abundant number, since it is smaller than the sum of its proper divisors (101264807252).

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

70106733340 is a wasteful number, since it uses less digits than its factorization.

70106733340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46307 (or 46298 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 34.

The spelling of 70106733340 in words is "seventy billion, one hundred six million, seven hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1601 3202 6404 8005 11207 16010 22414 32020 44683 44828 56035 78449 89366 112070 156898 178732 223415 224140 312781 313796 392245 446830 625562 784490 893660 1251124 1563905 1568980 2189467 3127810 4378934 6255620 8757868 10947335 21894670 43789340 71537483 143074966 286149932 357687415 500762381 715374830 1001524762 1430749660 2003049524 2503811905 3505336667 5007623810 7010673334 10015247620 14021346668 17526683335 35053366670 70106733340