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2042137520364 = 22317411553157217
BaseRepresentation
bin11101101101111000111…
…000011010100011101100
321020020010002000200011110
4131231320320122203230
5231424244201122424
64202051154152020
7300353033342454
oct35557070324354
97206102020143
102042137520364
1171807a434587
1228b943882610
1311a75a410786
1470ba8cb2d64
15381c248dc29
hex1db78e1a8ec

2042137520364 has 96 divisors (see below), whose sum is σ = 5171697429696. Its totient is φ = 624638033920.

The previous prime is 2042137520327. The next prime is 2042137520393. The reversal of 2042137520364 is 4630257312402.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12910684 + ... + 13067900.

It is an arithmetic number, because the mean of its divisors is an integer number (53871848226).

Almost surely, 22042137520364 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 2042137520364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585848714848).

2042137520364 is an abundant number, since it is smaller than the sum of its proper divisors (3129559909332).

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

2042137520364 is a wasteful number, since it uses less digits than its factorization.

2042137520364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158835 (or 158833 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 2042137520364 in words is "two trillion, forty-two billion, one hundred thirty-seven million, five hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 1553 2091 2788 3106 4182 4659 6212 8364 9318 18636 26401 52802 63673 79203 105604 127346 157217 158406 191019 254692 314434 316812 382038 471651 628868 764076 943302 1082441 1886604 2164882 2672689 3247323 4329764 5345378 6445897 6494646 8018067 10690756 12891794 12989292 16036134 19337691 25783588 32072268 38675382 77350764 109580249 219160498 244158001 328740747 438320996 488316002 657481494 732474003 976632004 1314962988 1464948006 2929896012 4150686017 8301372034 10010478041 12452058051 16602744068 20020956082 24904116102 30031434123 40041912164 49808232204 60062868246 120125736492 170178126697 340356253394 510534380091 680712506788 1021068760182 2042137520364