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372433981140 = 2232513165796053
BaseRepresentation
bin1010110101101101100…
…10111000111011010100
31022121022120020112001100
411122312302320323110
522100221044344030
6443032132430100
735623155415044
oct5326662707324
91277276215040
10372433981140
11133a48300431
126021b478330
13291745cbc90
1414051101724
159a4b809360
hex56b6cb8ed4

372433981140 has 144 divisors (see below), whose sum is σ = 1217364574608. Its totient is φ = 91619776512.

The previous prime is 372433981133. The next prime is 372433981159. The reversal of 372433981140 is 41189334273.

372433981140 is a `hidden beast` number, since 3 + 7 + 243 + 398 + 1 + 14 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63135607824 + 309298373316 = 251268^2 + 556146^2 .

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 47 ways as a sum of consecutive naturals, for example, 3829354 + ... + 3925406.

It is an arithmetic number, because the mean of its divisors is an integer number (8453920657).

Almost surely, 2372433981140 is an apocalyptic number.

372433981140 is a gapful number since it is divisible by the number (30) 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 372433981140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608682287304).

372433981140 is an abundant number, since it is smaller than the sum of its proper divisors (844930593468).

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

372433981140 is a wasteful number, since it uses less digits than its factorization.

372433981140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97738 (or 97733 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 372433981140 in words is "three hundred seventy-two billion, four hundred thirty-three million, nine hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1657 2340 3314 4971 6628 8285 9942 14913 16570 19884 21541 24855 29826 33140 43082 49710 59652 64623 74565 86164 96053 99420 107705 129246 149130 192106 193869 215410 258492 288159 298260 323115 384212 387738 430820 480265 576318 646230 775476 864477 960530 969345 1152636 1248689 1292460 1440795 1728954 1921060 1938690 2497378 2881590 3457908 3746067 3877380 4322385 4994756 5763180 6243445 7492134 8644770 11238201 12486890 14984268 17289540 18730335 22476402 24973780 37460670 44952804 56191005 74921340 112382010 159159821 224764020 318319642 477479463 636639284 795799105 954958926 1432438389 1591598210 1909917852 2069077673 2387397315 2864876778 3183196420 4138155346 4774794630 5729753556 6207233019 7162191945 8276310692 9549589260 10345388365 12414466038 14324383890 18621699057 20690776730 24828932076 28648767780 31036165095 37243398114 41381553460 62072330190 74486796228 93108495285 124144660380 186216990570 372433981140