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2348389442816 = 28293111017119
BaseRepresentation
bin100010001011000110111…
…010110010010100000000
322022111121022001021012222
4202023012322302110000
5301434000144132231
64554500223510212
7331444164623234
oct42130672622400
98274538037188
102348389442816
11825a4568873a
1231b172a58368
131405b5571881
148193c4805c4
154114894927b
hex222c6eb2500

2348389442816 has 72 divisors (see below), whose sum is σ = 4864844275200. Its totient is φ = 1130058782720.

The previous prime is 2348389442731. The next prime is 2348389442827. The reversal of 2348389442816 is 6182449838432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1800305 + ... + 2817423.

It is an arithmetic number, because the mean of its divisors is an integer number (67567281600).

Almost surely, 22348389442816 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 2348389442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432422137600).

2348389442816 is an abundant number, since it is smaller than the sum of its proper divisors (2516454832384).

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

2348389442816 is a wasteful number, since it uses less digits than its factorization.

2348389442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017475 (or 1017461 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 62.

The spelling of 2348389442816 in words is "two trillion, three hundred forty-eight billion, three hundred eighty-nine million, four hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 311 464 622 928 1244 1856 2488 3712 4976 7424 9019 9952 18038 19904 36076 39808 72152 79616 144304 288608 577216 1017119 1154432 2034238 2308864 4068476 8136952 16273904 29496451 32547808 58992902 65095616 117985804 130191232 235971608 260382464 316324009 471943216 632648018 943886432 1265296036 1887772864 2530592072 3775545728 5061184144 7551091456 9173396261 10122368288 18346792522 20244736576 36693585044 40489473152 73387170088 80978946304 146774340176 293548680352 587097360704 1174194721408 2348389442816