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1397675024820 = 223452337511407
BaseRepresentation
bin10100010101101011111…
…011000110000110110100
311221121122101010211010000
4110111223323012012310
5140344414301243240
62550025534231300
7202656455455524
oct24255373060664
94847571124100
101397675024820
11499829128aa8
121a6a66655530
13a1a53028c09
144b90d919684
1526553ea8430
hex1456bec61b4

1397675024820 has 120 divisors (see below), whose sum is σ = 4575191410944. Its totient is φ = 356508402624.

The previous prime is 1397675024743. The next prime is 1397675024831. The reversal of 1397675024820 is 284205767931.

It is a happy number.

1397675024820 is a `hidden beast` number, since 1 + 3 + 9 + 76 + 7 + 502 + 48 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18718444 + ... + 18792963.

It is a 1-persistent number, because it is pandigital, but 2⋅1397675024820 = 2795350049640 is not.

Almost surely, 21397675024820 is an apocalyptic number.

1397675024820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1397675024820 is an abundant number, since it is smaller than the sum of its proper divisors (3177516386124).

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

1397675024820 is a wasteful number, since it uses less digits than its factorization.

1397675024820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37511451 (or 37511440 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1397675024820 in words is "one trillion, three hundred ninety-seven billion, six hundred seventy-five million, twenty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 2070 2484 3105 3726 4140 6210 7452 9315 12420 18630 37260 37511407 75022814 112534221 150045628 187557035 225068442 337602663 375114070 450136884 562671105 675205326 750228140 862762361 1012807989 1125342210 1350410652 1688013315 1725524722 2025615978 2250684420 2588287083 3038423967 3376026630 3451049444 4051231956 4313811805 5064039945 5176574166 6076847934 6752053260 7764861249 8627623610 10128079890 10353148332 12153695868 12941435415 15192119835 15529722498 17255247220 20256159780 23294583747 25882870830 30384239670 31059444996 38824306245 46589167494 51765741660 60768479340 69883751241 77648612490 93178334988 116472918735 139767502482 155297224980 232945837470 279535004964 349418756205 465891674940 698837512410 1397675024820