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148325635008 = 2632829310627
BaseRepresentation
bin1000101000100011100…
…1011001001111000000
3112011212001211221220100
42022020321121033000
54412232330310013
6152050113042400
713500435044445
oct2121071311700
9464761757810
10148325635008
11579a4a54a31
12248b5b56400
1310caa70a145
14727125d9cc
153cd1ae1473
hex2288e593c0

148325635008 has 84 divisors (see below), whose sum is σ = 425662867240. Its totient is φ = 49382078976.

The previous prime is 148325634991. The next prime is 148325635013. The reversal of 148325635008 is 800536523841.

148325635008 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 2 + 5 + 635 + 0 + 0 + 8 = 666.

It is a super-3 number, since 3×1483256350083 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322191 + ... + 632817.

Almost surely, 2148325635008 is an apocalyptic number.

148325635008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148325635008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212831433620).

148325635008 is an abundant number, since it is smaller than the sum of its proper divisors (277337232232).

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

148325635008 is a wasteful number, since it uses less digits than its factorization.

148325635008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311474 (or 311461 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 148325635008 in words is "one hundred forty-eight billion, three hundred twenty-five million, six hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 829 1658 2487 3316 4974 6632 7461 9948 13264 14922 19896 26528 29844 39792 53056 59688 79584 119376 159168 238752 310627 477504 621254 931881 1242508 1863762 2485016 2795643 3727524 4970032 5591286 7455048 9940064 11182572 14910096 19880128 22365144 29820192 44730288 59640384 89460576 178921152 257509783 515019566 772529349 1030039132 1545058698 2060078264 2317588047 3090117396 4120156528 4635176094 6180234792 8240313056 9270352188 12360469584 16480626112 18540704376 24720939168 37081408752 49441878336 74162817504 148325635008