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39426220416 = 2731159158201
BaseRepresentation
bin100100101101111111…
…000110000110000000
310202202200101111212210
4210231333012012000
51121221103023131
630040120422120
72564006226012
oct445577060600
9122680344783
1039426220416
11157a2089a40
127783917940
13394423750b
141ca02cc1b2
15105b448146
hex92dfc6180

39426220416 has 128 divisors (see below), whose sum is σ = 116183548800. Its totient is φ = 11744768000.

The previous prime is 39426220397. The next prime is 39426220433. The reversal of 39426220416 is 61402262493.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170116 + ... + 328316.

It is an arithmetic number, because the mean of its divisors is an integer number (907683975).

Almost surely, 239426220416 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 39426220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58091774400).

39426220416 is an abundant number, since it is smaller than the sum of its proper divisors (76757328384).

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

39426220416 is a wasteful number, since it uses less digits than its factorization.

39426220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158288 (or 158276 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 39426220416 in words is "thirty-nine billion, four hundred twenty-six million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 128 132 176 177 192 236 264 352 354 384 472 528 649 704 708 944 1056 1298 1408 1416 1888 1947 2112 2596 2832 3776 3894 4224 5192 5664 7552 7788 10384 11328 15576 20768 22656 31152 41536 62304 83072 124608 158201 249216 316402 474603 632804 949206 1265608 1740211 1898412 2531216 3480422 3796824 5062432 5220633 6960844 7593648 9333859 10124864 10441266 13921688 15187296 18667718 20249728 20882532 27843376 28001577 30374592 37335436 41765064 55686752 56003154 60749184 74670872 83530128 102672449 111373504 112006308 149341744 167060256 205344898 222747008 224012616 298683488 308017347 334120512 410689796 448025232 597366976 616034694 668241024 821379592 896050464 1194733952 1232069388 1642759184 1792100928 2464138776 3285518368 3584201856 4928277552 6571036736 9856555104 13142073472 19713110208 39426220416