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30555564431304 = 233111011151995611
BaseRepresentation
bin1101111001010010001011…
…00100000101011111001000
311000012002020211012001002210
412330221011210011133020
513001110243443300204
6144553011005025120
76302365241214243
oct674510544053710
9130162224161083
1030555564431304
1198105a65a3160
123515a588551a0
1314084ba0ac633
14778c7bd2a25a
1537ec48a4c389
hex1bca459057c8

30555564431304 has 128 divisors (see below), whose sum is σ = 84231642562560. Its totient is φ = 9159612000000.

The previous prime is 30555564431297. The next prime is 30555564431311. The reversal of 30555564431304 is 40313446555503.

It is an interprime number because it is at equal distance from previous prime (30555564431297) and next prime (30555564431311).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30192459 + ... + 31188069.

It is an arithmetic number, because the mean of its divisors is an integer number (658059707520).

Almost surely, 230555564431304 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 30555564431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42115821281280).

30555564431304 is an abundant number, since it is smaller than the sum of its proper divisors (53676078131256).

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

30555564431304 is a wasteful number, since it uses less digits than its factorization.

30555564431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996883 (or 996879 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 30555564431304 in words is "thirty trillion, five hundred fifty-five billion, five hundred sixty-four million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1151 1212 2222 2302 2424 3333 3453 4444 4604 6666 6906 8888 9208 12661 13332 13812 25322 26664 27624 37983 50644 75966 101288 116251 151932 232502 303864 348753 465004 697506 930008 995611 1278761 1395012 1991222 2557522 2790024 2986833 3836283 3982444 5115044 5973666 7672566 7964888 10230088 10951721 11947332 15345132 21903442 23894664 30690264 32855163 43806884 65710326 87613768 100556711 131420652 201113422 262841304 301670133 402226844 603340266 804453688 1106123821 1145948261 1206680532 2212247642 2291896522 2413361064 3318371463 3437844783 4424495284 4583793044 6636742926 6875689566 8848990568 9167586088 12605430871 13273485852 13751379132 25210861742 26546971704 27502758264 37816292613 50421723484 75632585226 100843446968 115740774361 151265170452 231481548722 302530340904 347222323083 462963097444 694444646166 925926194888 1273148517971 1388889292332 2546297035942 2777778584664 3819445553913 5092594071884 7638891107826 10185188143768 15277782215652 30555564431304