Search a number
-
+
48787733664 = 25321982710781
BaseRepresentation
bin101101011011111110…
…011011110010100000
311122221002201122211200
4231123332123302200
51244404124434124
634225054241200
73345001615365
oct553376336240
9148832648750
1048787733664
111976644944a
129556ab6200
1347a6872277
14250b72a46c
151408234bc9
hexb5bf9bca0

48787733664 has 144 divisors (see below), whose sum is σ = 146232384480. Its totient is φ = 15386595840.

The previous prime is 48787733639. The next prime is 48787733717. The reversal of 48787733664 is 46633778784.

It is a happy number.

48787733664 is a `hidden beast` number, since 487 + 87 + 73 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4519954 + ... + 4530734.

It is an arithmetic number, because the mean of its divisors is an integer number (1015502670).

Almost surely, 248787733664 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 48787733664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73116192240).

48787733664 is an abundant number, since it is smaller than the sum of its proper divisors (97444650816).

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

48787733664 is a wasteful number, since it uses less digits than its factorization.

48787733664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11643 (or 11632 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 48787733664 in words is "forty-eight billion, seven hundred eighty-seven million, seven hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 827 912 1368 1654 1824 2481 2736 3308 4962 5472 6616 7443 9924 10781 13232 14886 15713 19848 21562 26464 29772 31426 32343 39696 43124 47139 59544 62852 64686 79392 86248 94278 97029 119088 125704 129372 141417 172496 188556 194058 204839 238176 251408 258744 282834 344992 377112 388116 409678 502816 517488 565668 614517 754224 776232 819356 1034976 1131336 1229034 1508448 1552464 1638712 1843551 2262672 2458068 3104928 3277424 3687102 4525344 4916136 6554848 7374204 8915887 9832272 14748408 17831774 19664544 26747661 29496816 35663548 53495322 58993632 71327096 80242983 106990644 142654192 160485966 169401853 213981288 285308384 320971932 338803706 427962576 508205559 641943864 677607412 855925152 1016411118 1283887728 1355214824 1524616677 2032822236 2567775456 2710429648 3049233354 4065644472 5420859296 6098466708 8131288944 12196933416 16262577888 24393866832 48787733664