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30004716597640 = 23541821163713613
BaseRepresentation
bin1101101001010000001000…
…11110010111000110001000
310221020102102021210202002121
412310220010132113012020
512413044124422111030
6143451550532141024
76214524563662561
oct664500436270610
9127212367722077
1030004716597640
119618a24330734
123447146a67774
131398581661925
1475a343959168
15370758dee47a
hex1b4a04797188

30004716597640 has 128 divisors (see below), whose sum is σ = 69288835281120. Its totient is φ = 11686892953600.

The previous prime is 30004716597613. The next prime is 30004716597643. The reversal of 30004716597640 is 4679561740003.

It can be written as a sum of positive squares in 16 ways, for example, as 14538099648996 + 15466616948644 = 3812886^2 + 3932762^2 .

It is not an unprimeable number, because it can be changed into a prime (30004716597643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204115474 + ... + 2204129086.

Almost surely, 230004716597640 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 30004716597640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34644417640560).

30004716597640 is an abundant number, since it is smaller than the sum of its proper divisors (39284118683480).

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

30004716597640 is a wasteful number, since it uses less digits than its factorization.

30004716597640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16123 (or 16119 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 30004716597640 in words is "thirty trillion, four billion, seven hundred sixteen million, five hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 821 1637 1640 1642 3274 3284 4105 6548 6568 8185 8210 13096 13613 16370 16420 27226 32740 32840 33661 54452 65480 67117 67322 68065 108904 134234 134644 136130 168305 268468 269288 272260 335585 336610 536936 544520 558133 671170 673220 1116266 1342340 1343977 1346440 2232532 2684680 2687954 2790665 4465064 5375908 5581330 6719885 10751816 11162660 11176273 13439770 22284481 22325320 22352546 26879540 44568962 44705092 53759080 55103057 55881365 89137924 89410184 110206114 111422405 111762730 178275848 220412228 222844810 223525460 275515285 440824456 445689620 447050920 458227193 551030570 891379240 913663721 916454386 1102061140 1827327442 1832908772 2204122280 2291135965 3654654884 3665817544 4568318605 4582271930 7309309768 9136637210 9164543860 18273274420 18295558901 18329087720 36546548840 36591117802 73182235604 91477794505 146364471208 182955589010 365911178020 731822356040 750117914941 1500235829882 3000471659764 3750589574705 6000943319528 7501179149410 15002358298820 30004716597640