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147009733236 = 223223787225601
BaseRepresentation
bin1000100011101001110…
…1101000001001110100
3112001110100202020000200
42020322131220021310
54402033442430421
6151311344440500
713423016054232
oct2107235501164
9461410666020
10147009733236
115738a186503
12245a9319130
1310b2abc5242
14718859d952
153c5630e726
hex223a768274

147009733236 has 72 divisors (see below), whose sum is σ = 388259237184. Its totient is φ = 46812902400.

The previous prime is 147009733223. The next prime is 147009733237. The reversal of 147009733236 is 632337900741.

It is a happy number.

It is a super-2 number, since 2×1470097332362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147009733191 and 147009733200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147009733237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538836 + ... + 764436.

Almost surely, 2147009733236 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 147009733236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194129618592).

147009733236 is an abundant number, since it is smaller than the sum of its proper divisors (241249503948).

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

147009733236 is a wasteful number, since it uses less digits than its factorization.

147009733236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226421 (or 226416 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 147009733236 in words is "one hundred forty-seven billion, nine million, seven hundred thirty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 787 828 1574 2361 3148 4722 7083 9444 14166 18101 28332 36202 54303 72404 108606 162909 217212 225601 325818 451202 651636 676803 902404 1353606 2030409 2707212 4060818 5188823 8121636 10377646 15566469 20755292 31132938 46699407 62265876 93398814 177547987 186797628 355095974 532643961 710191948 1065287922 1597931883 2130575844 3195863766 4083603701 6391727532 8167207402 12250811103 16334414804 24501622206 36752433309 49003244412 73504866618 147009733236