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9272920202001 = 34734336195851
BaseRepresentation
bin1000011011110000010100…
…0111010101101100010001
31012211111000202022120210000
42012330011013111230101
52203411420032431001
631415530513400213
71644642415132341
oct206740507255421
935744022276700
109272920202001
112a55694789385
1210591a2269069
1352358161b591
14240b51572d21
151113237e1a86
hex86f051d5b11

9272920202001 has 80 divisors (see below), whose sum is σ = 14099471256640. Its totient is φ = 6072315724800.

The previous prime is 9272920201991. The next prime is 9272920202011. The reversal of 9272920202001 is 1002020292729.

It is an interprime number because it is at equal distance from previous prime (9272920201991) and next prime (9272920202011).

It is not a de Polignac number, because 9272920202001 - 25 = 9272920201969 is a prime.

It is a super-3 number, since 3×92729202020013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9272920202011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1584840726 + ... + 1584846576.

It is an arithmetic number, because the mean of its divisors is an integer number (176243390708).

Almost surely, 29272920202001 is an apocalyptic number.

It is an amenable number.

9272920202001 is a deficient number, since it is larger than the sum of its proper divisors (4826551054639).

9272920202001 is a wasteful number, since it uses less digits than its factorization.

9272920202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 9272920202001 in words is "nine trillion, two hundred seventy-two billion, nine hundred twenty million, two hundred two thousand, one".

Divisors: 1 3 9 27 73 81 219 433 619 657 1299 1857 1971 3897 5571 5851 5913 11691 16713 17553 31609 35073 45187 50139 52659 94827 135561 157977 268027 284481 406683 427123 473931 804081 853443 1220049 1281369 2412243 2533483 2560329 3621769 3660147 3844107 7236729 7600449 10865307 11532321 19565971 21710187 22801347 32595921 34596963 58697913 68404041 97787763 176093739 184944259 205212123 264389137 293363289 528281217 554832777 793167411 1568225977 1584843651 1664498331 2379502233 4704677931 4993494993 7138506699 14114033793 14980484979 21415520097 42342101379 114480496321 127026304137 343441488963 1030324466889 3090973400667 9272920202001