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1002472898304 = 28329279116127
BaseRepresentation
bin11101001011010000000…
…10100111111100000000
310112211120001121200020010
432211220002213330000
5112411031030221204
62044310225144520
7132266133020043
oct16455002477400
93484501550203
101002472898304
113571678a8aa9
1214235218b140
13736c06c9287
143673ca40c5a
151b1238dbd89
hexe9680a7f00

1002472898304 has 144 divisors (see below), whose sum is σ = 2761201336320. Its totient is φ = 322499358720.

The previous prime is 1002472898281. The next prime is 1002472898309. The reversal of 1002472898304 is 4038982742001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002472898309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62153089 + ... + 62169215.

It is an arithmetic number, because the mean of its divisors is an integer number (19175009280).

Almost surely, 21002472898304 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 1002472898304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380600668160).

1002472898304 is an abundant number, since it is smaller than the sum of its proper divisors (1758728438016).

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

1002472898304 is a wasteful number, since it uses less digits than its factorization.

1002472898304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18966 (or 18952 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 1002472898304 in words is "one trillion, two billion, four hundred seventy-two million, eight hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 2791 3712 5568 5582 7424 8373 11136 11164 16127 16746 22272 22328 32254 33492 44656 48381 64508 66984 80939 89312 96762 129016 133968 161878 178624 193524 242817 258032 267936 323756 357248 387048 467683 485634 516064 535872 647512 714496 774096 935366 971268 1032128 1071744 1295024 1403049 1548192 1870732 1942536 2064256 2143488 2590048 2806098 3096384 3741464 3885072 4128512 5180096 5612196 6192768 7482928 7770144 10360192 11224392 12385536 14965856 15540288 20720384 22448784 29931712 31080576 44897568 45010457 59863424 62161152 89795136 90020914 119726848 135031371 179590272 180041828 270062742 359180544 360083656 540125484 720167312 1080250968 1305303253 1440334624 2160501936 2610606506 2880669248 3915909759 4321003872 5221213012 5761338496 7831819518 8642007744 10442426024 11522676992 15663639036 17284015488 20884852048 31327278072 34568030976 41769704096 62654556144 83539408192 125309112288 167078816384 250618224576 334157632768 501236449152 1002472898304