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1087614446152 = 2313181191373811
BaseRepresentation
bin11111101001110101101…
…11110110101001001000
310211222022201110102221011
433310322313312221020
5120304413244234102
62151350532053304
7141402046154053
oct17647267665110
93758281412834
101087614446152
1138a289001083
12156953a64234
137b73babc6a0
143a8d85a5a9a
151d4584722d7
hexfd3adf6a48

1087614446152 has 128 divisors (see below), whose sum is σ = 2228535429120. Its totient is φ = 494646912000.

The previous prime is 1087614446141. The next prime is 1087614446183. The reversal of 1087614446152 is 2516444167801.

It is a junction number, because it is equal to n+sod(n) for n = 1087614446096 and 1087614446105.

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, 1341077827 + ... + 1341078637.

It is an arithmetic number, because the mean of its divisors is an integer number (17410433040).

Almost surely, 21087614446152 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 1087614446152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114267714560).

1087614446152 is an abundant number, since it is smaller than the sum of its proper divisors (1140920982968).

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

1087614446152 is a wasteful number, since it uses less digits than its factorization.

1087614446152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 1087614446152 in words is "one trillion, eighty-seven billion, six hundred fourteen million, four hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 181 191 362 373 382 724 746 764 811 1448 1492 1528 1622 2353 2483 2984 3244 4706 4849 4966 6488 9412 9698 9932 10543 18824 19396 19864 21086 34571 38792 42172 67513 69142 71243 84344 135026 138284 142486 146791 154901 270052 276568 284972 293582 302503 309802 449423 540104 569944 587164 605006 619604 877669 898846 926159 1174328 1210012 1239208 1755338 1797692 1852318 1908283 2013713 2420024 3510676 3595384 3704636 3816566 3932539 4027426 7021352 7409272 7633132 7865078 8054852 12894983 15266264 15730156 16109704 25789966 28037081 31460312 51579932 54753043 56074162 57778073 103159864 109506086 112148324 115556146 167634779 219012172 224296648 231112292 335269558 364482053 438024344 462224584 670539116 711789559 728964106 751114949 1341078232 1423579118 1457928212 1502229898 2847158236 2915856424 3004459796 5694316472 6008919592 10457831213 20915662426 41831324852 83662649704 135951805769 271903611538 543807223076 1087614446152