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111384421248 = 2732927736109
BaseRepresentation
bin110011110111100000…
…1110110001110000000
3101122111120102212022010
41213233001312032000
53311103402434443
6123100322412520
711022131650002
oct1475701661600
9348446385263
10111384421248
1143268669301
1219706501140
13a671282789
145568ddc372
152d6d911733
hex19ef076380

111384421248 has 128 divisors (see below), whose sum is σ = 307180548000. Its totient is φ = 35717455872.

The previous prime is 111384421237. The next prime is 111384421261. The reversal of 111384421248 is 842124483111.

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

It is a nude number because it is divisible by every one of its digits.

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, 3066618 + ... + 3102726.

Almost surely, 2111384421248 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 111384421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153590274000).

111384421248 is an abundant number, since it is smaller than the sum of its proper divisors (195796126752).

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

111384421248 is a wasteful number, since it uses less digits than its factorization.

111384421248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36432 (or 36420 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The spelling of 111384421248 in words is "one hundred eleven billion, three hundred eighty-four million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 277 348 384 464 554 696 831 928 1108 1392 1662 1856 2216 2784 3324 3712 4432 5568 6648 8033 8864 11136 13296 16066 17728 24099 26592 32132 35456 36109 48198 53184 64264 72218 96396 106368 108327 128528 144436 192792 216654 257056 288872 385584 433308 514112 577744 771168 866616 1028224 1047161 1155488 1542336 1733232 2094322 2310976 3084672 3141483 3466464 4188644 4621952 6282966 6932928 8377288 10002193 12565932 13865856 16754576 20004386 25131864 30006579 33509152 40008772 50263728 60013158 67018304 80017544 100527456 120026316 134036608 160035088 201054912 240052632 290063597 320070176 402109824 480105264 580127194 640140352 870190791 960210528 1160254388 1280280704 1740381582 1920421056 2320508776 3480763164 3840842112 4641017552 6961526328 9282035104 13923052656 18564070208 27846105312 37128140416 55692210624 111384421248