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4221899202432 = 27324156381031
BaseRepresentation
bin111101011011111100110…
…011010101111110000000
3112221121110102012010122010
4331123330303111332000
51023132422143434212
612551302544012520
7614010412052262
oct75337463257600
915847412163563
104221899202432
11138855204277a
12582295601140
1324817b107052
141084aba43b32
1574c4bc9c03c
hex3d6fccd5f80

4221899202432 has 128 divisors (see below), whose sum is σ = 11281093528320. Its totient is φ = 1398953779200.

The previous prime is 4221899202407. The next prime is 4221899202457. The reversal of 4221899202432 is 2342029981224.

It is an interprime number because it is at equal distance from previous prime (4221899202407) and next prime (4221899202457).

It is a tau number, because it is divible by the number of its divisors (128).

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, 52061757 + ... + 52142787.

It is an arithmetic number, because the mean of its divisors is an integer number (88133543190).

Almost surely, 24221899202432 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 4221899202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640546764160).

4221899202432 is an abundant number, since it is smaller than the sum of its proper divisors (7059194325888).

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

4221899202432 is a wasteful number, since it uses less digits than its factorization.

4221899202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81852 (or 81840 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 4221899202432 in words is "four trillion, two hundred twenty-one billion, eight hundred ninety-nine million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 384 482 563 723 964 1126 1446 1689 1928 2252 2892 3378 3856 4504 5784 6756 7712 9008 11568 13512 15424 18016 23136 27024 30848 36032 46272 54048 72064 81031 92544 108096 135683 162062 216192 243093 271366 324124 407049 486186 542732 648248 814098 972372 1085464 1296496 1628196 1944744 2170928 2592992 3256392 3889488 4341856 5185984 6512784 7778976 8683712 10371968 13025568 15557952 17367424 19528471 26051136 31115904 39056942 45620453 52102272 58585413 78113884 91240906 117170826 136861359 156227768 182481812 234341652 273722718 312455536 364963624 468683304 547445436 624911072 729927248 937366608 1094890872 1249822144 1459854496 1874733216 2189781744 2499644288 2919708992 3749466432 4379563488 5839417984 7498932864 8759126976 10994529173 17518253952 21989058346 32983587519 43978116692 65967175038 87956233384 131934350076 175912466768 263868700152 351824933536 527737400304 703649867072 1055474800608 1407299734144 2110949601216 4221899202432