Search a number
-
+
70988142096 = 243624672
BaseRepresentation
bin100001000011100111…
…0010001011000010000
320210020021201021000000
41002013032101120100
52130340431021341
652340030130000
75062103152254
oct1020716213020
9223207637000
1070988142096
1128118a56933
1211911950900
136904092411
143615d58264
151ca724d8b6
hex1087391610

70988142096 has 105 divisors (see below), whose sum is σ = 206298576831. Its totient is φ = 23653122336.

The previous prime is 70988142079. The next prime is 70988142107. The reversal of 70988142096 is 69024188907.

The square root of 70988142096 is 266436.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 20 ways as a sum of consecutive naturals, for example, 28773855 + ... + 28776321.

Almost surely, 270988142096 is an apocalyptic number.

70988142096 is the 266436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70988142096

70988142096 is an abundant number, since it is smaller than the sum of its proper divisors (135310434735).

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

70988142096 is an frugal number, since it uses more digits than its factorization.

70988142096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 70988142096 in words is "seventy billion, nine hundred eighty-eight million, one hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2467 2916 3888 4934 5832 7401 9868 11664 14802 19736 22203 29604 39472 44406 59208 66609 88812 118416 133218 177624 199827 266436 355248 399654 532872 599481 799308 1065744 1198962 1598616 1798443 2397924 3197232 3596886 4795848 6086089 7193772 9591696 12172178 14387544 18258267 24344356 28775088 36516534 48688712 54774801 73033068 97377424 109549602 146066136 164324403 219099204 292132272 328648806 438198408 492973209 657297612 876396816 985946418 1314595224 1478919627 1971892836 2629190448 2957839254 3943785672 4436758881 5915678508 7887571344 8873517762 11831357016 17747035524 23662714032 35494071048 70988142096