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5259432672396 = 2232729901179867
BaseRepresentation
bin100110010001000111010…
…0111011011110010001100
3200121210111220110101111100
41030202032213123302030
51142132304231004041
615104052223023100
71051660434043410
oct114421647336214
920553456411440
105259432672396
1117485706a3131
1270b39143aa90
132c1c684441c6
141427b4c3ad40
1591c236d16b6
hex4c88e9dbc8c

5259432672396 has 144 divisors (see below), whose sum is σ = 15719785885440. Its totient is φ = 1450698802560.

The previous prime is 5259432672379. The next prime is 5259432672451. The reversal of 5259432672396 is 6932762349525.

It is a happy number.

5259432672396 is a `hidden beast` number, since 5 + 2 + 59 + 432 + 67 + 2 + 3 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 65812455 + ... + 65892321.

It is an arithmetic number, because the mean of its divisors is an integer number (109165179760).

Almost surely, 25259432672396 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 5259432672396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859892942720).

5259432672396 is an abundant number, since it is smaller than the sum of its proper divisors (10460353213044).

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

5259432672396 is a wasteful number, since it uses less digits than its factorization.

5259432672396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88924 (or 88919 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 5259432672396 in words is "five trillion, two hundred fifty-nine billion, four hundred thirty-two million, six hundred seventy-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 9011 18022 27033 36044 54066 63077 79867 81099 108132 126154 159734 162198 189231 239601 252308 261319 319468 324396 378462 479202 522638 559069 567693 718803 756924 783957 958404 1045276 1118138 1135386 1437606 1567914 1677207 1829233 2236276 2270772 2316143 2351871 2875212 3135828 3354414 3658466 4632286 4703742 5031621 5487699 6708828 6948429 7316932 9264572 9407484 10063242 10975398 13896858 16213001 16463097 20126484 20845287 21950796 27793716 32426002 32926194 41690574 48639003 64852004 65852388 83381148 97278006 145917009 194556012 291834018 583668036 719681537 1439363074 2159044611 2878726148 4318089222 5037770759 6477133833 8636178444 10075541518 12954267666 15113312277 20151083036 20870764573 25908535332 30226624554 41741529146 45339936831 60453249108 62612293719 83483058292 90679873662 125224587438 146095352011 181359747324 187836881157 250449174876 292190704022 375673762314 438286056033 584381408044 751347524628 876572112066 1314858168099 1753144224132 2629716336198 5259432672396