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91272449141232 = 24310770936076949
BaseRepresentation
bin10100110000001100000101…
…111010001010100111110000
3102222011120010220122002110220
4110300030011322022213300
543430401433440004412
6522041552334453040
725140134242644042
oct2460140572124760
9388146126562426
1091272449141232
112709a479088387
12a2a1266664180
133bc0c55252c78
1418778781d5a92
15a84314ba968c
hex530305e8a9f0

91272449141232 has 160 divisors (see below), whose sum is σ = 238426828992000. Its totient is φ = 30084627446784.

The previous prime is 91272449141227. The next prime is 91272449141273. The reversal of 91272449141232 is 23214194427219.

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, 13134612894 + ... + 13134619842.

It is an arithmetic number, because the mean of its divisors is an integer number (1490167681200).

Almost surely, 291272449141232 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 91272449141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119213414496000).

91272449141232 is an abundant number, since it is smaller than the sum of its proper divisors (147154379850768).

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

91272449141232 is a wasteful number, since it uses less digits than its factorization.

91272449141232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11383 (or 11377 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 91272449141232 in words is "ninety-one trillion, two hundred seventy-two billion, four hundred forty-nine million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 709 856 1284 1418 1712 2127 2568 2836 3607 4254 5136 5672 6949 7214 8508 10821 11344 13898 14428 17016 20847 21642 27796 28856 34032 41694 43284 55592 57712 75863 83388 86568 111184 151726 166776 173136 227589 303452 333552 385949 455178 606904 743543 771898 910356 1157847 1213808 1487086 1543796 1820712 2230629 2315694 2557363 2974172 3087592 3641424 4461258 4631388 4926841 5114726 5948344 6175184 7672089 8922516 9262776 9853682 10229452 11896688 14780523 15344178 17845032 18525552 19707364 20458904 25065043 29561046 30688356 35690064 39414728 40917808 50130086 59122092 61376712 75195129 78829456 100260172 118244184 122753424 150390258 200520344 236488368 273637841 300780516 401040688 527171987 547275682 601561032 820913523 1054343974 1094551364 1203122064 1581515961 1641827046 2108687948 2189102728 2681959601 3163031922 3283654092 4217375896 4378205456 5363919202 6326063844 6567308184 8045878803 8434751792 10727838404 12652127688 13134616368 16091757606 17771115487 21455676808 25304255376 32183515212 35542230974 42911353616 53313346461 64367030424 71084461948 106626692922 128734060848 142168923896 213253385844 284337847792 426506771688 853013543376 1901509357109 3803018714218 5704528071327 7606037428436 11409056142654 15212074856872 22818112285308 30424149713744 45636224570616 91272449141232