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248333428340 = 22523619872141
BaseRepresentation
bin1110011101000111010…
…0110110011001110100
3212201222210011020120222
43213101310312121310
513032041324201330
6310025515113512
723640635212154
oct3472164663164
9781883136528
10248333428340
11963548232a8
1240166442898
131a557a17c0a
14c03b34c764
1566d686a0e5
hex39d1d36674

248333428340 has 48 divisors (see below), whose sum is σ = 545053864320. Its totient is φ = 94860923520.

The previous prime is 248333428333. The next prime is 248333428429. The reversal of 248333428340 is 43824333842.

It is a junction number, because it is equal to n+sod(n) for n = 248333428291 and 248333428300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151331 + ... + 720810.

It is an arithmetic number, because the mean of its divisors is an integer number (11355288840).

Almost surely, 2248333428340 is an apocalyptic number.

248333428340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248333428340 is an abundant number, since it is smaller than the sum of its proper divisors (296720435980).

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

248333428340 is a wasteful number, since it uses less digits than its factorization.

248333428340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872792 (or 872790 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 248333428340 in words is "two hundred forty-eight billion, three hundred thirty-three million, four hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 619 1238 2476 3095 6190 12380 14237 28474 56948 71185 142370 284740 872141 1744282 3488564 4360705 8721410 17442820 20059243 40118486 80236972 100296215 200592430 401184860 539855279 1079710558 2159421116 2699276395 5398552790 10797105580 12416671417 24833342834 49666685668 62083357085 124166714170 248333428340