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2029456380292 = 22111738344315991
BaseRepresentation
bin11101100010000101000…
…001101101000110000100
321012000101022020000021221
4131202011001231012010
5231222311313132132
64152152553250124
7266423551414555
oct35420501550604
97160338200257
102029456380292
11712762245330
122893a4a03944
131194b91110b3
1470324a2a32c
1537bce023e97
hex1d88506d184

2029456380292 has 96 divisors (see below), whose sum is σ = 4122576912384. Its totient is φ = 863940979200.

The previous prime is 2029456380191. The next prime is 2029456380307. The reversal of 2029456380292 is 2920836549202.

It is a super-3 number, since 3×20294563802923 (a number of 38 digits) contains 333 as substring.

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, 126904417 + ... + 126920407.

It is an arithmetic number, because the mean of its divisors is an integer number (42943509504).

Almost surely, 22029456380292 is an apocalyptic number.

2029456380292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2029456380292 is an abundant number, since it is smaller than the sum of its proper divisors (2093120532092).

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

2029456380292 is a wasteful number, since it uses less digits than its factorization.

2029456380292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16849 (or 16847 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 2029456380292 in words is "two trillion, twenty-nine billion, four hundred fifty-six million, three hundred eighty thousand, two hundred ninety-two".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 383 443 748 766 886 1532 1772 4213 4873 6511 7531 8426 9746 13022 15062 15991 16852 19492 26044 30124 31982 63964 71621 82841 143242 165682 169669 175901 271847 286484 331364 339338 351802 543694 678676 703604 1087388 1866359 2884373 2990317 3732718 5768746 5980634 6124553 7084013 7465436 11537492 11961268 12249106 14168026 24498212 28336052 31728103 63456206 67370083 77924143 104117401 120428221 126912412 134740166 155848286 208234802 240856442 269480332 311696572 416469604 481712884 1145291411 1324710431 2290582822 2649420862 2713176979 4581165644 5298841724 5426353958 10852707916 29844946769 46124008643 59689893538 92248017286 119379787076 184496034572 507364095073 1014728190146 2029456380292