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272423970681951 = 31126127758517591
BaseRepresentation
bin111101111100010010100110…
…000000000011010001011111
31022201120110212220201212020010
4331330102212000003101133
5241201343242443310301
62403221502221054303
7111244660644652014
oct7574224600032137
91281513786655203
10272423970681951
11798913a240a800
12266797106b7393
13b90161606ab4a
144b3b5678a570b
15217658caaa5d6
hexf7c4a600345f

272423970681951 has 96 divisors (see below), whose sum is σ = 407388377363968. Its totient is φ = 161763544800000.

The previous prime is 272423970681887. The next prime is 272423970681991. The reversal of 272423970681951 is 159186079324272.

It is not a de Polignac number, because 272423970681951 - 26 = 272423970681887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272423970681991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35887754166 + ... + 35887761756.

It is a 2-persistent number, because it is pandigital, and so is 2⋅272423970681951 = 544847941363902, but 3⋅272423970681951 = 817271912045853 is not.

Almost surely, 2272423970681951 is an apocalyptic number.

272423970681951 is a deficient number, since it is larger than the sum of its proper divisors (134964406682017).

272423970681951 is a wasteful number, since it uses less digits than its factorization.

272423970681951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13805 (or 13794 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 272423970681951 in words is "two hundred seventy-two trillion, four hundred twenty-three billion, nine hundred seventy million, six hundred eighty-one thousand, nine hundred fifty-one".

Divisors: 1 3 11 33 61 121 183 277 363 671 831 2013 3047 5851 7381 7591 9141 16897 17553 22143 22773 33517 50691 64361 83501 100551 185867 193083 250503 356911 463051 557601 707971 918511 1070733 1389153 1620727 2044537 2102707 2123913 2755533 3926021 4862181 5093561 6133611 6308121 11778063 15280683 17827997 23129777 43186231 44414941 53483991 56029171 69389331 98864347 128265127 129558693 133244823 168087513 196107967 254427547 296593041 384795381 488564351 588323901 763282641 1087507817 1410916397 1465693053 2709311401 3262523451 4232749191 5374207861 8127934203 11962585987 12302938657 15520080367 16122623583 29802425411 35887757961 36908815971 46560241101 89407276233 135332325227 327826679521 405996975681 750479258077 983480038563 1488655577497 2251437774231 4465966732491 8255271838847 24765815516541 90807990227317 272423970681951