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1087380238384 = 2411113137593673
BaseRepresentation
bin11111101001011001110…
…10011011000000110000
310211221201101202110021101
433310230322123000300
5120303423320112014
62151311404134144
7141363203344426
oct17645472330060
93757641673241
101087380238384
1138a178884340
121568a9537354
137b7024190cb
143a8b543b116
151d442b0c474
hexfd2ce9b030

1087380238384 has 160 divisors (see below), whose sum is σ = 2343005020224. Its totient is φ = 484772413440.

The previous prime is 1087380238369. The next prime is 1087380238393. The reversal of 1087380238384 is 4838320837801.

1087380238384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1615720672 + ... + 1615721344.

Almost surely, 21087380238384 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 1087380238384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171502510112).

1087380238384 is an abundant number, since it is smaller than the sum of its proper divisors (1255624781840).

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

1087380238384 is a wasteful number, since it uses less digits than its factorization.

1087380238384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 1087380238384 in words is "one trillion, eighty-seven billion, three hundred eighty million, two hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 113 137 176 226 274 452 548 593 673 904 1096 1186 1243 1346 1507 1808 2192 2372 2486 2692 3014 4744 4972 5384 6028 6523 7403 9488 9944 10768 12056 13046 14806 15481 19888 24112 26092 29612 30962 52184 59224 61924 67009 76049 81241 92201 104368 118448 123848 134018 152098 162482 170291 184402 247696 268036 304196 324964 340582 368804 399089 536072 608392 649928 681164 737099 737608 798178 836539 893651 1014211 1072144 1216784 1299856 1362328 1474198 1475216 1596356 1673078 1787302 2028422 2724656 2948396 3192712 3346156 3574604 4056844 4389979 5896792 6385424 6692312 7149208 8113688 8779958 9180233 10418713 11793584 13384624 14298416 16227376 17559916 18360466 20837426 35119832 36720932 41674852 45097057 54675193 70239664 73441864 83349704 90194114 100982563 109350386 114605843 146883728 166699408 180388228 201965126 218700772 229211686 360776456 403930252 437401544 458423372 496067627 601427123 721552912 807860504 874803088 916846744 992135254 1202854246 1615721008 1833693488 1984270508 2405708492 3968541016 4811416984 6178296809 7937082032 9622833968 12356593618 24713187236 49426374472 67961264899 98852748944 135922529798 271845059596 543690119192 1087380238384