Search a number
-
+
28783782962704 = 2472112174192
BaseRepresentation
bin1101000101101101111110…
…01010001010011000010000
310202220200222022202210111201
412202312333022022120100
512233043141414301304
6141115030511120544
76030362655216100
oct642667712123020
9122820868683451
1028783782962704
1191981520aa900
12328a5a6813154
13130a3b712a2b3
147171dd155200
1534daeb5253a4
hex1a2dbf28a610

28783782962704 has 135 divisors (see below), whose sum is σ = 71311498363791. Its totient is φ = 11213817088320.

The previous prime is 28783782962689. The next prime is 28783782962717. The reversal of 28783782962704 is 40726928738782.

The square root of 28783782962704 is 5365052.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1652427307 + ... + 1652444725.

Almost surely, 228783782962704 is an apocalyptic number.

28783782962704 is the 5365052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28783782962704

28783782962704 is an abundant number, since it is smaller than the sum of its proper divisors (42527715401087).

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

28783782962704 is an frugal number, since it uses more digits than its factorization.

28783782962704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34882 (or 17439 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 73.

The spelling of 28783782962704 in words is "twenty-eight trillion, seven hundred eighty-three billion, seven hundred eighty-two million, nine hundred sixty-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 784 847 968 1078 1232 1694 1936 2156 3388 4312 5929 6776 8624 11858 13552 17419 23716 34838 47432 69676 94864 121933 139352 191609 243866 278704 383218 487732 766436 853531 975464 1341263 1532872 1707062 1950928 2107699 2682526 3065744 3414124 4215398 5365052 6828248 8430796 9388841 10730104 13656496 14753893 16861592 18777682 21460208 29507786 33723184 37555364 59015572 75110728 103277251 118031144 150221456 206554502 236062288 303421561 413109004 606843122 826218008 1213686244 1652436016 2123950927 2427372488 3337637171 4247901854 4854744976 6675274342 8495803708 13350548684 14867656489 16991607416 23363460197 26701097368 29735312978 33983214832 36714008881 46726920394 53402194736 59470625956 73428017762 93453840788 118941251912 146856035524 163544221379 186907681576 237882503824 256998062167 293712071048 327088442758 373815363152 513996124334 587424142096 654176885516 1027992248668 1308353771032 1798986435169 2055984497336 2616707542064 3597972870338 4111968994672 7195945740676 14391891481352 28783782962704