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2042909366176 = 257157169734231
BaseRepresentation
bin11101101110100110111…
…000110001011110100000
321020022002212101111120101
4131232212320301132200
5231432334244204201
64202255525352144
7300411125046010
oct35564670613640
97208085344511
102042909366176
11718436095788
1228bb1a268654
1311a8512b6883
1470c3d5cdc40
153821a103d01
hex1dba6e317a0

2042909366176 has 96 divisors (see below), whose sum is σ = 4628684535552. Its totient is φ = 869417902080.

The previous prime is 2042909366101. The next prime is 2042909366177. The reversal of 2042909366176 is 6716639092402.

It is not an unprimeable number, because it can be changed into a prime (2042909366177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59662981 + ... + 59697211.

It is an arithmetic number, because the mean of its divisors is an integer number (48215463912).

Almost surely, 22042909366176 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 2042909366176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314342267776).

2042909366176 is an abundant number, since it is smaller than the sum of its proper divisors (2585775169376).

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

2042909366176 is a wasteful number, since it uses less digits than its factorization.

2042909366176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36102 (or 36094 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 2042909366176 in words is "two trillion, forty-two billion, nine hundred nine million, three hundred sixty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 628 1099 1256 1697 2198 2512 3394 4396 5024 6788 8792 11879 13576 17584 23758 27152 34231 35168 47516 54304 68462 95032 136924 190064 239617 266429 273848 380128 479234 532858 547696 958468 1065716 1095392 1865003 1916936 2131432 3730006 3833872 4262864 5374267 7460012 7667744 8525728 10748534 14920024 21497068 29840048 37619869 42994136 58090007 59680096 75239738 85988272 116180014 150479476 171976544 232360028 300958952 406630049 464720056 601917904 813260098 929440112 1203835808 1626520196 1858880224 3253040392 6506080784 9120131099 13012161568 18240262198 36480524396 63840917693 72961048792 127681835386 145922097584 255363670772 291844195168 510727341544 1021454683088 2042909366176