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1057403491614 = 23529349121491
BaseRepresentation
bin11110110001100100010…
…10001101010100011110
310202002100021012221100000
433120302022031110132
5114311030243212424
62125433042315130
7136252305244311
oct17306212152436
93662307187300
101057403491614
11378495782858
12150b22358aa6
1378935b06122
1439270126978
151c78b0783c9
hexf63228d51e

1057403491614 has 96 divisors (see below), whose sum is σ = 2458640096640. Its totient is φ = 340200453600.

The previous prime is 1057403491591. The next prime is 1057403491663. The reversal of 1057403491614 is 4161943047501.

1057403491614 is a `hidden beast` number, since 10 + 57 + 40 + 3 + 491 + 61 + 4 = 666.

1057403491614 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10574034916143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1057403491614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49191409 + ... + 49212899.

It is an arithmetic number, because the mean of its divisors is an integer number (25610834340).

Almost surely, 21057403491614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057403491614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229320048320).

1057403491614 is an abundant number, since it is smaller than the sum of its proper divisors (1401236605026).

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

1057403491614 is a wasteful number, since it uses less digits than its factorization.

1057403491614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25028 (or 25016 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1057403491614 in words is "one trillion, fifty-seven billion, four hundred three million, four hundred ninety-one thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 3491 4698 6982 7047 10473 14094 20946 21491 31419 42982 62838 64473 94257 101239 128946 188514 193419 202478 282771 303717 386838 565542 580257 607434 623239 848313 911151 1160514 1246478 1696626 1740771 1822302 1869717 2733453 3481542 3739434 5222313 5466906 5609151 8200359 10444626 11218302 16400718 16827453 24601077 33654906 49202154 50482359 75025081 100964718 150050162 151447077 225075243 302894154 450150486 675225729 1350451458 2025677187 2175727349 4051354374 4351454698 6077031561 6527182047 12154063122 13054364094 18231094683 19581546141 36462189366 39163092282 58744638423 117489276846 176233915269 352467830538 528701745807 1057403491614