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2193403112928 = 2532232131155387
BaseRepresentation
bin11111111010110001000…
…000110110110111100000
321202200120000220221122200
4133322301000312313200
5241414042144103203
64355345132533200
7314316400561116
oct37726100666740
97680500827580
102193403112928
1177624296a0a5
122b511a321200
1312bab5c3ba71
1478238789ab6
153c0c72139a3
hex1feb1036de0

2193403112928 has 144 divisors (see below), whose sum is σ = 6511781517696. Its totient is φ = 699013244160.

The previous prime is 2193403112899. The next prime is 2193403112939. The reversal of 2193403112928 is 8292113043912.

2193403112928 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 40 + 311 + 292 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21934031129282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14038051 + ... + 14193437.

It is an arithmetic number, because the mean of its divisors is an integer number (45220704984).

Almost surely, 22193403112928 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 2193403112928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255890758848).

2193403112928 is an abundant number, since it is smaller than the sum of its proper divisors (4318378404768).

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

2193403112928 is a wasteful number, since it uses less digits than its factorization.

2193403112928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157557 (or 157546 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2193403112928 in words is "two trillion, one hundred ninety-three billion, four hundred three million, one hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2131 2208 3312 4262 6393 6624 8524 12786 17048 19179 25572 34096 38358 49013 51144 68192 76716 98026 102288 147039 153432 155387 196052 204576 294078 306864 310774 392104 441117 466161 588156 613728 621548 784208 882234 932322 1176312 1243096 1398483 1568416 1764468 1864644 2352624 2486192 2796966 3528936 3573901 3729288 4705248 4972384 5593932 7057872 7147802 7458576 10721703 11187864 14115744 14295604 14917152 21443406 22375728 28591208 32165109 42886812 44751456 57182416 64330218 85773624 114364832 128660436 171547248 257320872 331129697 343094496 514641744 662259394 993389091 1029283488 1324518788 1986778182 2649037576 2980167273 3973556364 5298075152 5960334546 7615983031 7947112728 10596150304 11920669092 15231966062 15894225456 22847949093 23841338184 30463932124 31788450912 45695898186 47682676368 60927864248 68543847279 91391796372 95365352736 121855728496 137087694558 182783592744 243711456992 274175389116 365567185488 548350778232 731134370976 1096701556464 2193403112928