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423679861072 = 241337671994129
BaseRepresentation
bin1100010101001010100…
…10011010000101010000
31111111120222101221122101
412022211102122011100
523420144021023242
6522345201450144
742416116253566
oct6124522320520
91444528357571
10423679861072
11153755266516
126a141640954
1330c50508160
14167130a5a36
15b04a74d9b7
hex62a549a150

423679861072 has 160 divisors (see below), whose sum is σ = 926322656000. Its totient is φ = 186432897024.

The previous prime is 423679861067. The next prime is 423679861123. The reversal of 423679861072 is 270168976324.

It is a super-3 number, since 3×4236798610723 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102608704 + ... + 102612832.

It is an arithmetic number, because the mean of its divisors is an integer number (5789516600).

Almost surely, 2423679861072 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 423679861072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463161328000).

423679861072 is an abundant number, since it is smaller than the sum of its proper divisors (502642794928).

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

423679861072 is a wasteful number, since it uses less digits than its factorization.

423679861072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 423679861072 in words is "four hundred twenty-three billion, six hundred seventy-nine million, eight hundred sixty-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 37 52 67 74 104 134 148 199 208 268 296 398 481 536 592 796 871 962 1072 1592 1742 1924 2479 2587 3184 3484 3848 4129 4958 5174 6968 7363 7696 8258 9916 10348 13333 13936 14726 16516 19832 20696 26666 29452 32227 33032 39664 41392 53332 53677 58904 64454 66064 95719 106664 107354 117808 128908 152773 173329 191438 213328 214708 257816 276643 305546 346658 382876 429416 493321 515632 553286 611092 693316 765752 821671 858832 986642 1106572 1222184 1386632 1531504 1643342 1973284 1986049 2213144 2444368 2773264 3286684 3596359 3946568 3972098 4426288 6413173 6573368 7192718 7893136 7944196 10235791 10681723 12826346 13146736 14385436 15888392 20471582 21363446 25652692 28770872 30401827 31776784 40943164 42726892 51305384 55051957 57541744 60803654 81886328 85453784 102610768 110103914 121607308 133065283 163772656 170907568 220207828 243214616 266130566 395223751 440415656 486429232 532261132 715675441 790447502 880831312 1064522264 1431350882 1580895004 2036922409 2129044528 2862701764 3161790008 4073844818 5725403528 6323580016 8147689636 11450807056 16295379272 26479991317 32590758544 52959982634 105919965268 211839930536 423679861072