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5402602129932 = 2232753790151197
BaseRepresentation
bin100111010011110010000…
…1011100100101000001100
3201010111001122001101121200
41032213210023210220030
51202004012121124212
615253530545225500
71065216342254610
oct116474413445014
921114048041550
105402602129932
1117a325a069667
12733088632290
1330260383cb57
141496b7383340
15958027bb6dc
hex4e9e42e4a0c

5402602129932 has 144 divisors (see below), whose sum is σ = 15904322021952. Its totient is φ = 1514254809600.

The previous prime is 5402602129919. The next prime is 5402602129943. The reversal of 5402602129932 is 2399212062045.

5402602129932 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 602 + 1 + 2 + 9 + 9 + 32 = 666.

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 47 ways as a sum of consecutive naturals, for example, 105500158 + ... + 105551354.

It is an arithmetic number, because the mean of its divisors is an integer number (110446680708).

Almost surely, 25402602129932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5402602129932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952161010976).

5402602129932 is an abundant number, since it is smaller than the sum of its proper divisors (10501719892020).

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

5402602129932 is a wasteful number, since it uses less digits than its factorization.

5402602129932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59168 (or 59163 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 5402602129932 in words is "five trillion, four hundred two billion, six hundred two million, one hundred twenty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 7901 13356 15802 23703 31604 47406 51197 55307 71109 94812 102394 110614 142218 153591 165921 204788 221228 284436 307182 331842 358379 418753 460773 497763 614364 663684 716758 837506 921546 995526 1075137 1256259 1433516 1675012 1843092 1991052 2150274 2512518 2713441 2931271 3225411 3768777 4300548 5025036 5426882 5862542 6450822 7537554 8140323 8793813 10853764 11725084 12901644 15075108 16280646 17587626 18994087 24420969 26381439 32561292 35175252 37988174 48841938 52762878 56982261 75976348 97683876 105525756 113964522 170946783 227929044 341893566 404507497 683787132 809014994 1213522491 1618029988 2427044982 2831552479 3640567473 4854089964 5663104958 7281134946 8494657437 11326209916 14562269892 16989314874 21438897341 25483972311 33978629748 42877794682 50967944622 64316692023 85755589364 101935889244 128633384046 150072281387 192950076069 257266768092 300144562774 385900152138 450216844161 600289125548 771800304276 900433688322 1350650532483 1800867376644 2701301064966 5402602129932