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6996148460 = 2257219607619
BaseRepresentation
bin1101000010000000…
…01100000011101100
3200001120111011110122
412201000030003230
5103312003222320
63114115424112
7335241165200
oct64100140354
920046434418
106996148460
112a70163984
121432bb5038
13876587b22
144a5236b00
152ae307d25
hex1a100c0ec

6996148460 has 144 divisors (see below), whose sum is σ = 18048844800. Its totient is φ = 2265024384.

The previous prime is 6996148429. The next prime is 6996148469. The reversal of 6996148460 is 648416996.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6996148469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11302031 + ... + 11302649.

It is an arithmetic number, because the mean of its divisors is an integer number (125339200).

Almost surely, 26996148460 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 6996148460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024422400).

6996148460 is an abundant number, since it is smaller than the sum of its proper divisors (11052696340).

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

6996148460 is a wasteful number, since it uses less digits than its factorization.

6996148460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The square root of 6996148460 is about 83642.9821323941. The cubic root of 6996148460 is about 1912.5802740737.

The spelling of 6996148460 in words is "six billion, nine hundred ninety-six million, one hundred forty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 607 619 665 931 980 1214 1238 1330 1862 2428 2476 2660 3035 3095 3724 4249 4333 4655 6070 6190 8498 8666 9310 11533 11761 12140 12380 16996 17332 18620 21245 21665 23066 23522 29743 30331 42490 43330 46132 47044 57665 58805 59486 60662 80731 82327 84980 86660 115330 117610 118972 121324 148715 151655 161462 164654 230660 235220 297430 303310 322924 329308 375733 403655 411635 565117 576289 594860 606620 751466 807310 823270 1130234 1152578 1502932 1614620 1646540 1878665 2260468 2305156 2630131 2825585 2881445 3757330 5260262 5651170 5762890 7138927 7514660 10520524 11302340 11525780 13150655 14277854 18410917 26301310 28555708 35694635 36821834 49972489 52602620 71389270 73643668 92054585 99944978 142778540 184109170 199889956 249862445 349807423 368218340 499724890 699614846 999449780 1399229692 1749037115 3498074230 6996148460