Search a number
-
+
505613378752 = 26173150329803
BaseRepresentation
bin1110101101110001110…
…01111110010011000000
31210100002001202220021021
413112320321332103000
531240444011110002
61024135305235224
751346366544146
oct7267071762300
91710061686237
10505613378752
1118547a630a99
1281ba8a92b14
13388aa0aa971
141a686951596
15d24384b737
hex75b8e7e4c0

505613378752 has 112 divisors (see below), whose sum is σ = 1098831992832. Its totient is φ = 229794877440.

The previous prime is 505613378749. The next prime is 505613378773. The reversal of 505613378752 is 257873316505.

It is a self number, because there is not a number n which added to its sum of digits gives 505613378752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16950283 + ... + 16980085.

It is an arithmetic number, because the mean of its divisors is an integer number (9810999936).

Almost surely, 2505613378752 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 505613378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549415996416).

505613378752 is an abundant number, since it is smaller than the sum of its proper divisors (593218614080).

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

505613378752 is a wasteful number, since it uses less digits than its factorization.

505613378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30366 (or 30356 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 52.

The spelling of 505613378752 in words is "five hundred five billion, six hundred thirteen million, three hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 503 527 544 992 1006 1054 1088 1984 2012 2108 4024 4216 8048 8432 8551 15593 16096 16864 17102 29803 31186 32192 33728 34204 59606 62372 68408 119212 124744 136816 238424 249488 265081 273632 476848 498976 506651 530162 547264 923893 953696 997952 1013302 1060324 1847786 1907392 2026604 2120648 3695572 4053208 4241296 7391144 8106416 8482592 14782288 14990909 15706181 16212832 16965184 29564576 29981818 31412362 32425664 59129152 59963636 62824724 119927272 125649448 239854544 251298896 254845453 464718179 479709088 502597792 509690906 929436358 959418176 1005195584 1019381812 1858872716 2038763624 3717745432 4077527248 7435490864 7900209043 8155054496 14870981728 15800418086 16310108992 29741963456 31600836172 63201672344 126403344688 252806689376 505613378752