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30160000512 = 293319114827
BaseRepresentation
bin11100000101101011…
…010001011000000000
32212211220100202211000
4130011223101120000
5443231430004022
621504425252000
72115251526435
oct340553213000
985756322730
1030160000512
1111877596864
125a18634000
132ac8585b65
1416617b7b8c
15bb7bd16ac
hex705ad1600

30160000512 has 160 divisors (see below), whose sum is σ = 93975235200. Its totient is φ = 9524127744.

The previous prime is 30160000483. The next prime is 30160000571. The reversal of 30160000512 is 21500006103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205243 + ... + 320069.

It is an arithmetic number, because the mean of its divisors is an integer number (587345220).

Almost surely, 230160000512 is an apocalyptic number.

30160000512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30160000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46987617600).

30160000512 is an abundant number, since it is smaller than the sum of its proper divisors (63815234688).

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

30160000512 is a wasteful number, since it uses less digits than its factorization.

30160000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114873 (or 114851 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 30160000512 its reverse (21500006103), we get a palindrome (51660006615).

The spelling of 30160000512 in words is "thirty billion, one hundred sixty million, five hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1026 1152 1216 1368 1536 1728 1824 2052 2304 2432 2736 3456 3648 4104 4608 4864 5472 6912 7296 8208 9728 10944 13824 14592 16416 21888 29184 32832 43776 65664 87552 114827 131328 229654 262656 344481 459308 688962 918616 1033443 1377924 1837232 2066886 2181713 2755848 3100329 3674464 4133772 4363426 5511696 6200658 6545139 7348928 8267544 8726852 11023392 12401316 13090278 14697856 16535088 17453704 19635417 22046784 24802632 26180556 29395712 33070176 34907408 39270834 44093568 49605264 52361112 58791424 58906251 66140352 69814816 78541668 88187136 99210528 104722224 117812502 132280704 139629632 157083336 176374272 198421056 209444448 235625004 264561408 279259264 314166672 396842112 418888896 471250008 529122816 558518528 628333344 793684224 837777792 942500016 1117037056 1256666688 1587368448 1675555584 1885000032 2513333376 3351111168 3770000064 5026666752 7540000128 10053333504 15080000256 30160000512