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1920363603456 = 29322928119429
BaseRepresentation
bin11011111100011110100…
…101110010011000000000
320210120210102220202010210
4123330132211302120000
5222430401040302311
64030111452354120
7255512254205604
oct33743645623000
96716712822123
101920363603456
11680470210431
12270219a75940
1310c12186953c
1468d36123504
1534e468d33a6
hex1bf1e972600

1920363603456 has 160 divisors (see below), whose sum is σ = 5156860341600. Its totient is φ = 635025162240.

The previous prime is 1920363603427. The next prime is 1920363603463. The reversal of 1920363603456 is 6543063630291.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 98830350 + ... + 98849778.

It is an arithmetic number, because the mean of its divisors is an integer number (32230377135).

Almost surely, 21920363603456 is an apocalyptic number.

1920363603456 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 1920363603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578430170800).

1920363603456 is an abundant number, since it is smaller than the sum of its proper divisors (3236496738144).

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

1920363603456 is a wasteful number, since it uses less digits than its factorization.

1920363603456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19960 (or 19944 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 1920363603456 in words is "one trillion, nine hundred twenty billion, three hundred sixty-three million, six hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 281 384 458 512 562 687 768 843 916 1124 1374 1536 1686 1832 2248 2748 3372 3664 4496 5496 6744 7328 8992 10992 13488 14656 17984 19429 21984 26976 29312 35968 38858 43968 53952 58287 58624 64349 71936 77716 87936 107904 116574 117248 128698 143872 155432 175872 193047 215808 233148 257396 310864 351744 386094 431616 466296 514792 621728 772188 932592 1029584 1243456 1544376 1865184 2059168 2486912 3088752 3730368 4118336 4449241 4973824 5459549 6177504 7460736 8236672 8898482 9947648 10919098 12355008 13347723 14921472 16378647 16473344 17796964 21838196 24710016 26695446 29842944 32757294 32946688 35593928 43676392 49420032 53390892 65514588 71187856 87352784 98840064 106781784 131029176 142375712 174705568 213563568 262058352 284751424 349411136 427127136 524116704 569502848 698822272 854254272 1048233408 1139005696 1250236721 1397644544 1708508544 2096466816 2278011392 2500473442 2795289088 3417017088 3750710163 4192933632 5000946884 6834034176 7501420326 8385867264 10001893768 15002840652 20003787536 30005681304 40007575072 60011362608 80015150144 120022725216 160030300288 240045450432 320060600576 480090900864 640121201152 960181801728 1920363603456