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5199746304 = 28397223313
BaseRepresentation
bin1001101011110110…
…11101010100000000
3111102101020110222110
410311323131110000
541122113340204
62215544335320
7242566054134
oct46573352400
914371213873
105199746304
1122291373a5
121011474540
1364b35757c
143748193c4
15206760889
hex135edd500

5199746304 has 144 divisors (see below), whose sum is σ = 14089144832. Its totient is φ = 1702232064.

The previous prime is 5199746291. The next prime is 5199746311. The reversal of 5199746304 is 4036479915.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 16612452 + ... + 16612764.

Almost surely, 25199746304 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 5199746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044572416).

5199746304 is an abundant number, since it is smaller than the sum of its proper divisors (8889398528).

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

5199746304 is a wasteful number, since it uses less digits than its factorization.

5199746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 5199746304 is about 72109.2664225618. The cubic root of 5199746304 is about 1732.4500356856.

The spelling of 5199746304 in words is "five billion, one hundred ninety-nine million, seven hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 223 256 291 313 384 388 446 582 626 669 768 776 892 939 1164 1252 1338 1552 1784 1878 2328 2504 2676 3104 3568 3756 4656 5008 5352 6208 7136 7512 9312 10016 10704 12416 14272 15024 18624 20032 21408 21631 24832 28544 30048 30361 37248 40064 42816 43262 57088 60096 60722 64893 69799 74496 80128 85632 86524 91083 120192 121444 129786 139598 171264 173048 182166 209397 240384 242888 259572 279196 346096 364332 418794 485776 519144 558392 692192 728664 837588 971552 1038288 1116784 1384384 1457328 1675176 1943104 2076576 2233568 2768768 2914656 3350352 3886208 4153152 4467136 5537536 5829312 6700704 6770503 7772416 8306304 8934272 11658624 13401408 13541006 16612608 17868544 20311509 23317248 26802816 27082012 40623018 53605632 54164024 81246036 108328048 162492072 216656096 324984144 433312192 649968288 866624384 1299936576 1733248768 2599873152 5199746304