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145715681196 = 22324319922377
BaseRepresentation
bin1000011110110101010…
…1001101011110101100
3111221010011202120100100
42013231111031132230
54341411203244241
6150535120431100
713345653565611
oct2075525153654
9457104676310
10145715681196
1156885781008
12242a7a78490
1310982a90687
1470a478a508
153bcc8e69b6
hex21ed54d7ac

145715681196 has 108 divisors (see below), whose sum is σ = 378965699112. Its totient is φ = 47184052608.

The previous prime is 145715681179. The next prime is 145715681197. The reversal of 145715681196 is 691186517541.

145715681196 is a `hidden beast` number, since 1 + 4 + 5 + 71 + 568 + 1 + 1 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (145715681197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61301160 + ... + 61303536.

Almost surely, 2145715681196 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 145715681196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189482849556).

145715681196 is an abundant number, since it is smaller than the sum of its proper divisors (233250017916).

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

145715681196 is a wasteful number, since it uses less digits than its factorization.

145715681196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2624 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 145715681196 in words is "one hundred forty-five billion, seven hundred fifteen million, six hundred eighty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 199 258 387 398 516 597 774 796 1194 1548 1791 2377 2388 3582 4754 7131 7164 8557 9508 14262 17114 21393 25671 28524 34228 39601 42786 51342 77013 79202 85572 102211 102684 118803 154026 158404 204422 237606 306633 308052 356409 408844 473023 475212 613266 712818 919899 946046 1226532 1419069 1425636 1702843 1839798 1892092 2838138 3405686 3679596 4257207 5108529 5676276 6811372 8514414 10217058 15325587 17028828 20339989 20434116 30651174 40679978 61019967 61302348 81359956 94131577 122039934 183059901 188263154 244079868 282394731 366119802 376526308 564789462 732239604 847184193 1129578924 1694368386 3388736772 4047657811 8095315622 12142973433 16190631244 24285946866 36428920299 48571893732 72857840598 145715681196