Search a number
-
+
76003642640 = 2457161921617
BaseRepresentation
bin100011011001000101…
…0111000110100010000
321021011211021002022102
41012302022320310100
52221123413031030
654525433455532
75330304205652
oct1066212706420
9237154232272
1076003642640
112a262090702
12128915715a8
1372231ba413
1439700d26d2
151e9c717c45
hex11b22b8d10

76003642640 has 80 divisors (see below), whose sum is σ = 179495118720. Its totient is φ = 29923461120.

The previous prime is 76003642567. The next prime is 76003642691. The reversal of 76003642640 is 4624630067.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 76003642594 and 76003642603.

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, 3505112 + ... + 3526728.

It is an arithmetic number, because the mean of its divisors is an integer number (2243688984).

Almost surely, 276003642640 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 76003642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89747559360).

76003642640 is an abundant number, since it is smaller than the sum of its proper divisors (103491476080).

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

76003642640 is a wasteful number, since it uses less digits than its factorization.

76003642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22320 (or 22314 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 76003642640 in words is "seventy-six billion, three million, six hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 619 710 1136 1238 1420 2476 2840 3095 4952 5680 6190 9904 12380 21617 24760 43234 43949 49520 86468 87898 108085 172936 175796 216170 219745 345872 351592 432340 439490 703184 864680 878980 1534807 1729360 1757960 3069614 3515920 6139228 7674035 12278456 13380923 15348070 24556912 26761846 30696140 53523692 61392280 66904615 107047384 122784560 133809230 214094768 267618460 535236920 950045533 1070473840 1900091066 3800182132 4750227665 7600364264 9500455330 15200728528 19000910660 38001821320 76003642640