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6001501116 = 22313415211801
BaseRepresentation
bin1011001011011011…
…11010001110111100
3120111020212211211010
411211231322032330
544242341013431
62431304555220
7301502626542
oct54555721674
916436784733
106001501116
1125aa766686
1211b5a82b10
137484a30c0
1440d0bdd92
15251d32846
hex165b7a3bc

6001501116 has 96 divisors (see below), whose sum is σ = 15486762816. Its totient is φ = 1797120000.

The previous prime is 6001501061. The next prime is 6001501117. The reversal of 6001501116 is 6111051006.

It is a junction number, because it is equal to n+sod(n) for n = 6001501092 and 6001501101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001501117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3331416 + ... + 3333216.

It is an arithmetic number, because the mean of its divisors is an integer number (161320446).

Almost surely, 26001501116 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 6001501116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743381408).

6001501116 is an abundant number, since it is smaller than the sum of its proper divisors (9485261700).

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

6001501116 is a wasteful number, since it uses less digits than its factorization.

6001501116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 6001501116 is about 77469.3559802842. The cubic root of 6001501116 is about 1817.2721195738.

The spelling of 6001501116 in words is "six billion, one million, five hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 521 533 1042 1066 1563 1599 1801 2084 2132 3126 3198 3602 5403 6252 6396 6773 7204 10806 13546 20319 21361 21612 23413 27092 40638 42722 46826 64083 70239 73841 81276 85444 93652 128166 140478 147682 221523 256332 277693 280956 295364 443046 555386 833079 886092 938321 959933 1110772 1666158 1876642 1919866 2814963 2879799 3332316 3753284 3839732 5629926 5759598 11259852 11519196 12198173 24396346 36594519 38471161 48792692 73189038 76942322 115413483 146378076 153884644 230826966 461653932 500125093 1000250186 1500375279 2000500372 3000750558 6001501116