Search a number
-
+
79979819904 = 27348392941
BaseRepresentation
bin100101001111100101…
…0110011001110000000
321122102221010211010000
41022133022303032000
52302244313214104
6100424153040000
75530655152335
oct1123712631600
9248387124100
1079979819904
1130a12583516
12136010b6000
137707bba72a
143c2a20498c
152131834639
hex129f2b3380

79979819904 has 160 divisors (see below), whose sum is σ = 240888934440. Its totient is φ = 26338452480.

The previous prime is 79979819903. The next prime is 79979819911. The reversal of 79979819904 is 40991897997.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79979819903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 814074 + ... + 907014.

Almost surely, 279979819904 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 79979819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120444467220).

79979819904 is an abundant number, since it is smaller than the sum of its proper divisors (160909114536).

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

79979819904 is an equidigital number, since it uses as much as digits as its factorization.

79979819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93050 (or 93029 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 72.

The spelling of 79979819904 in words is "seventy-nine billion, nine hundred seventy-nine million, eight hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 83 96 108 128 144 162 166 192 216 249 288 324 332 384 432 498 576 648 664 747 864 996 1152 1296 1328 1494 1728 1992 2241 2592 2656 2988 3456 3984 4482 5184 5312 5976 6723 7968 8964 10368 10624 11952 13446 15936 17928 23904 26892 31872 35856 47808 53784 71712 92941 95616 107568 143424 185882 215136 278823 286848 371764 430272 557646 743528 836469 860544 1115292 1487056 1672938 2230584 2509407 2974112 3345876 4461168 5018814 5948224 6691752 7528221 7714103 8922336 10037628 11896448 13383504 15056442 15428206 17844672 20075256 23142309 26767008 30112884 30856412 35689344 40150512 46284618 53534016 60225768 61712824 69426927 80301024 92569236 107068032 120451536 123425648 138853854 160602048 185138472 208280781 240903072 246851296 277707708 321204096 370276944 416561562 481806144 493702592 555415416 624842343 740553888 833123124 963612288 987405184 1110830832 1249684686 1481107776 1666246248 2221661664 2499369372 2962215552 3332492496 4443323328 4998738744 6664984992 8886646656 9997477488 13329969984 19994954976 26659939968 39989909952 79979819904