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42574444446270 = 23511374617563667
BaseRepresentation
bin10011010111000101000101…
…01000110100001000111110
312120202002002020100021111210
421223202202220310020332
521040014430234240040
6230314232455225250
711652621264553212
oct1153424250641076
9176662066307453
1042574444446270
11126247a1a81710
124937267378226
131a9a9a31197b9
14a7288516c942
154dc6d4206480
hex26b8a2a3423e

42574444446270 has 128 divisors (see below), whose sum is σ = 114728620672512. Its totient is φ = 10020344716800.

The previous prime is 42574444446251. The next prime is 42574444446341. The reversal of 42574444446270 is 7264444447524.

It is a self number, because there is not a number n which added to its sum of digits gives 42574444446270.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1846977 + ... + 9410643.

It is an arithmetic number, because the mean of its divisors is an integer number (896317349004).

Almost surely, 242574444446270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42574444446270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57364310336256).

42574444446270 is an abundant number, since it is smaller than the sum of its proper divisors (72154176226242).

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

42574444446270 is a wasteful number, since it uses less digits than its factorization.

42574444446270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564186.

The product of its (nonzero) digits is 96337920, while the sum is 57.

The spelling of 42574444446270 in words is "forty-two trillion, five hundred seventy-four billion, four hundred forty-four million, four hundred forty-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 461 555 814 922 1110 1221 1383 2035 2305 2442 2766 4070 4610 5071 6105 6915 10142 12210 13830 15213 17057 25355 30426 34114 50710 51171 76065 85285 102342 152130 170570 187627 255855 375254 511710 562881 938135 1125762 1876270 2814405 5628810 7563667 15127334 22691001 37818335 45382002 75636670 83200337 113455005 166400674 226910010 249601011 279855679 416001685 499202022 559711358 832003370 839567037 1248005055 1399278395 1679134074 2496010110 2798556790 3078412469 3486850487 4197835185 6156824938 6973700974 8395670370 9235237407 10460551461 15392062345 17434252435 18470474814 20921102922 30784124690 34868504870 38355355357 46176187035 52302757305 76710710714 92352374070 104605514610 115066066071 129013468019 191776776785 230132132142 258026936038 383553553570 387040404057 575330330355 645067340095 774080808114 1150660660710 1290134680190 1419148148209 1935202020285 2838296296418 3870404040570 4257444444627 7095740741045 8514888889254 14191481482090 21287222223135 42574444446270