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109609299546916 = 22132372108832
BaseRepresentation
bin11000111011000001100111…
…010111010001001100100100
3112101002112202112201100020211
4120323001213113101030210
5103331314321141000131
61025041452253105204
732042003423461321
oct3073014727211444
9471075675640224
10109609299546916
1131a1a0520a4064
1210363024788204
1349211604b2c00
141d0d192c89b48
15ca12c94655b1
hex63b0675d1324

109609299546916 has 81 divisors (see below), whose sum is σ = 213491403906291. Its totient is φ = 49217116912704.

The previous prime is 109609299546889. The next prime is 109609299546919. The reversal of 109609299546916 is 619645992906901.

The square root of 109609299546916 is 10469446.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 455282164516 + 109154017382400 = 674746^2 + 10447680^2 .

It is a super-2 number, since 2×1096092995469162 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109609299546919) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10071601611 + ... + 10071612493.

Almost surely, 2109609299546916 is an apocalyptic number.

109609299546916 is the 10469446-th square number.

It is an amenable number.

109609299546916 is a deficient number, since it is larger than the sum of its proper divisors (103882104359375).

109609299546916 is an frugal number, since it uses more digits than its factorization.

109609299546916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21870 (or 10935 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 76.

The spelling of 109609299546916 in words is "one hundred nine trillion, six hundred nine billion, two hundred ninety-nine million, five hundred forty-six thousand, nine hundred sixteen".

Divisors: 1 2 4 13 26 37 52 74 148 169 338 481 676 962 1369 1924 2738 5476 6253 10883 12506 17797 21766 25012 35594 43532 71188 141479 231361 282958 402671 462722 565916 805342 925444 1610684 1839227 3678454 5234723 7356908 10469446 14898827 20938892 29797654 59595308 68051399 118439689 136102798 193684751 236879378 272205596 387369502 473758756 774739004 1539715957 2517901763 3079431914 4382268493 5035803526 6158863828 8764536986 10071607052 17529073972 20016307441 40032614882 56969490409 80065229764 113938980818 162143934241 227877961636 324287868482 648575736964 740603375317 1481206750634 2107871145133 2962413501268 4215742290266 8431484580532 27402324886729 54804649773458 109609299546916