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90207870840 = 23325250577419
BaseRepresentation
bin101010000000011001…
…1101101111101111000
322121211202000122022100
41110000303231331320
52434221203331330
6105235123423400
76342302151663
oct1240063557570
9277752018270
1090207870840
1135290a9a57a
1215596524b60
138677c03c89
14451a76c6da
15252e73d060
hex1500cedf78

90207870840 has 48 divisors (see below), whose sum is σ = 293175581400. Its totient is φ = 24055432128.

The previous prime is 90207870839. The next prime is 90207870853. The reversal of 90207870840 is 4807870209.

It is a super-2 number, since 2×902078708402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125288350 + ... + 125289069.

Almost surely, 290207870840 is an apocalyptic number.

90207870840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90207870840 is an abundant number, since it is smaller than the sum of its proper divisors (202967710560).

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

90207870840 is a wasteful number, since it uses less digits than its factorization.

90207870840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250577436 (or 250577429 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 90207870840 in words is "ninety billion, two hundred seven million, eight hundred seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 250577419 501154838 751732257 1002309676 1252887095 1503464514 2004619352 2255196771 2505774190 3006929028 3758661285 4510393542 5011548380 6013858056 7517322570 9020787084 10023096760 11275983855 15034645140 18041574168 22551967710 30069290280 45103935420 90207870840