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672090181113 = 31321931279919
BaseRepresentation
bin10011100011110111011…
…00100100110111111001
32101020210010020200211010
421301323230210313321
542002420041243423
61232430505024133
766362010165111
oct11617354446771
92336703220733
10672090181113
1123a03942767a
12aa309785049
134b4bb135700
142475a70c041
1512738c06693
hex9c7bb24df9

672090181113 has 144 divisors (see below), whose sum is σ = 1069961472000. Its totient is φ = 373979099520.

The previous prime is 672090181109. The next prime is 672090181121. The reversal of 672090181113 is 311181090276.

It is not a de Polignac number, because 672090181113 - 22 = 672090181109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672090181153) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 731327268 + ... + 731328186.

It is an arithmetic number, because the mean of its divisors is an integer number (7430288000).

Almost surely, 2672090181113 is an apocalyptic number.

It is an amenable number.

672090181113 is a deficient number, since it is larger than the sum of its proper divisors (397871290887).

672090181113 is a wasteful number, since it uses less digits than its factorization.

672090181113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 672090181113 in words is "six hundred seventy-two billion, ninety million, one hundred eighty-one thousand, one hundred thirteen".

Divisors: 1 3 13 19 31 39 57 79 93 169 237 247 403 507 589 741 919 961 1027 1209 1501 1767 2449 2757 2883 3081 3211 4503 5239 7347 7657 9633 11947 12493 13351 15717 17461 18259 19513 22971 28489 31837 35841 37479 40053 46531 52383 54777 58539 72601 75919 85467 95511 99541 139593 155311 162409 217803 226993 227757 237367 253669 298623 370357 413881 465933 487227 541291 604903 680979 712101 761007 883159 943813 986947 1111071 1241643 1379419 1442461 1623873 1814709 2250631 2649477 2831439 2950909 2960841 3085771 4138257 4327383 4814641 6751893 7036783 7863739 8852727 9257313 11481067 12269569 12830311 14443923 16780021 17932447 18751993 21110349 23591217 29258203 34443201 36808707 38490933 42761989 50340063 53797341 56255979 69769561 87774609 91478179 128285967 149253871 209308683 218140273 233121811 243775909 274434537 380356639 447761613 555905857 654420819 699365433 731327727 907004293 1141069917 1325621659 1667717571 2721012879 2835823549 3976864977 7226776141 8507470647 11791055809 17233081567 21680328423 35373167427 51699244701 224030060371 672090181113