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132653521471000 = 2353735713182437
BaseRepresentation
bin11110001010010111001110…
…000001101000011000011000
3122101200112220222210121220211
4132022113032001220120120
5114341343402444033000
61150044104140100504
736640620632103565
oct3612271601503030
9571615828717824
10132653521471000
11392a4051666972
1212a65183b34734
135903233c5cc0a
1424a86711ad86c
151050950ed77ba
hex78a5ce068618

132653521471000 has 128 divisors (see below), whose sum is σ = 315212591453760. Its totient is φ = 52242869376000.

The previous prime is 132653521470973. The next prime is 132653521471043. The reversal of 132653521471000 is 174125356231.

It is a super-3 number, since 3×1326535214710003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40091782 + ... + 43274218.

Almost surely, 2132653521471000 is an apocalyptic number.

132653521471000 is a gapful number since it is divisible by the number (10) 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 132653521471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157606295726880).

132653521471000 is an abundant number, since it is smaller than the sum of its proper divisors (182559069982760).

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

132653521471000 is a wasteful number, since it uses less digits than its factorization.

132653521471000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183102 (or 3183088 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 132653521471000 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred twenty-one million, four hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 571 584 730 1000 1142 1460 1825 2284 2855 2920 3650 4568 5710 7300 9125 11420 14275 14600 18250 22840 28550 36500 41683 57100 71375 73000 83366 114200 142750 166732 208415 285500 333464 416830 571000 833660 1042075 1667320 2084150 3182437 4168300 5210375 6364874 8336600 10420750 12729748 15912185 20841500 25459496 31824370 41683000 63648740 79560925 127297480 159121850 232317901 318243700 397804625 464635802 636487400 795609250 929271604 1161589505 1591218500 1817171527 1858543208 2323179010 3182437000 3634343054 4646358020 5807947525 7268686108 9085857635 9292716040 11615895050 14537372216 18171715270 23231790100 29039737625 36343430540 45429288175 46463580200 58079475250 72686861080 90858576350 116158950500 132653521471 181717152700 227146440875 232317901000 265307042942 363434305400 454292881750 530614085884 663267607355 908585763500 1061228171768 1326535214710 1817171527000 2653070429420 3316338036775 5306140858840 6632676073550 13265352147100 16581690183875 26530704294200 33163380367750 66326760735500 132653521471000