Search a number
-
+
10720238370816 = 238313
BaseRepresentation
bin1001110000000000000000…
…0000000000000000000000
31101221211210211210102002210
42130000000000000000000
52401120022010331231
634444450504542120
72154340333443342
oct234000000000000
941854724712083
1010720238370816
1134634780a2207
1212517a2181940
135c9bb64a04c0
14290c10249292
15138cd0b4ea46
hex9c000000000

10720238370816 has 156 divisors (see below), whose sum is σ = 30786325577672. Its totient is φ = 3298534883328.

The previous prime is 10720238370749. The next prime is 10720238370839. The reversal of 10720238370816 is 61807383202701.

It is a tau number, because it is divible by the number of its divisors (156).

It is a super-2 number, since 2×107202383708162 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 824633720826 + ... + 824633720838.

Almost surely, 210720238370816 is an apocalyptic number.

10720238370816 is a gapful number since it is divisible by the number (16) 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 10720238370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393162788836).

10720238370816 is an abundant number, since it is smaller than the sum of its proper divisors (20066087206856).

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

10720238370816 is an frugal number, since it uses more digits than its factorization.

10720238370816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 10720238370816 in words is "ten trillion, seven hundred twenty billion, two hundred thirty-eight million, three hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9984 12288 13312 16384 19968 24576 26624 32768 39936 49152 53248 65536 79872 98304 106496 131072 159744 196608 212992 262144 319488 393216 425984 524288 638976 786432 851968 1048576 1277952 1572864 1703936 2097152 2555904 3145728 3407872 4194304 5111808 6291456 6815744 8388608 10223616 12582912 13631488 16777216 20447232 25165824 27262976 33554432 40894464 50331648 54525952 67108864 81788928 100663296 109051904 134217728 163577856 201326592 218103808 268435456 327155712 402653184 436207616 536870912 654311424 805306368 872415232 1073741824 1308622848 1610612736 1744830464 2147483648 2617245696 3221225472 3489660928 4294967296 5234491392 6442450944 6979321856 8589934592 10468982784 12884901888 13958643712 17179869184 20937965568 25769803776 27917287424 34359738368 41875931136 51539607552 55834574848 68719476736 83751862272 103079215104 111669149696 137438953472 167503724544 206158430208 223338299392 274877906944 335007449088 412316860416 446676598784 670014898176 824633720832 893353197568 1340029796352 1786706395136 2680059592704 3573412790272 5360119185408 10720238370816