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148438566000 = 2432538246587
BaseRepresentation
bin1000101000111110100…
…0001100010001110000
3112012010221100110002200
42022033220030101300
54413000233103000
6152105225343200
713503305664354
oct2121750142160
9465127313080
10148438566000
1157a5277872a
1224927937b00
1310cc7c2a60a
147282259464
153cdb99c500
hex228fa0c470

148438566000 has 120 divisors (see below), whose sum is σ = 518446494384. Its totient is φ = 39583612800.

The previous prime is 148438565963. The next prime is 148438566037. The reversal of 148438566000 is 665834841.

148438566000 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 38 + 5 + 6 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148438565963) and next prime (148438566037).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1484385660002 (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4105294 + ... + 4141293.

Almost surely, 2148438566000 is an apocalyptic number.

148438566000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148438566000 is an abundant number, since it is smaller than the sum of its proper divisors (370007928384).

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

148438566000 is a wasteful number, since it uses less digits than its factorization.

148438566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246616 (or 8246597 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 148438566000 in words is "one hundred forty-eight billion, four hundred thirty-eight million, five hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 8246587 16493174 24739761 32986348 41232935 49479522 65972696 74219283 82465870 98959044 123698805 131945392 148438566 164931740 197918088 206164675 247397610 296877132 329863480 371096415 395836176 412329350 494795220 593754264 618494025 659726960 742192830 824658700 989590440 1030823375 1187508528 1236988050 1484385660 1649317400 1855482075 1979180880 2061646750 2473976100 2968771320 3092470125 3298634800 3710964150 4123293500 4947952200 5937542640 6184940250 7421928300 8246587000 9277410375 9895904400 12369880500 14843856600 16493174000 18554820750 24739761000 29687713200 37109641500 49479522000 74219283000 148438566000