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48013371384 = 233112913034813
BaseRepresentation
bin101100101101110100…
…011110011111111000
311120221010121222111020
4230231310132133320
51241312410341014
634020153102440
73316546631406
oct545564363770
9146833558436
1048013371384
11193a9329620
12937b6b7a20
1346b22c7934
142476956476
1513b02741a9
hexb2dd1e7f8

48013371384 has 128 divisors (see below), whose sum is σ = 135593049600. Its totient is φ = 14034101760.

The previous prime is 48013371359. The next prime is 48013371407. The reversal of 48013371384 is 48317331084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9973362 + ... + 9978174.

It is an arithmetic number, because the mean of its divisors is an integer number (1059320700).

Almost surely, 248013371384 is an apocalyptic number.

48013371384 is a gapful number since it is divisible by the number (44) 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 48013371384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67796524800).

48013371384 is an abundant number, since it is smaller than the sum of its proper divisors (87579678216).

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

48013371384 is a wasteful number, since it uses less digits than its factorization.

48013371384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6165 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 48013371384 in words is "forty-eight billion, thirteen million, three hundred seventy-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1303 1914 2552 2606 3828 3909 4813 5212 7656 7818 9626 10424 14333 14439 15636 19252 28666 28878 31272 37787 38504 42999 52943 57332 57756 75574 85998 105886 113361 114664 115512 139577 151148 158829 171996 211772 226722 279154 302296 317658 343992 415657 418731 423544 453444 558308 635316 831314 837462 906888 1116616 1246971 1270632 1535347 1662628 1674924 2493942 3070694 3325256 3349848 4606041 4987884 6141388 6271339 9212082 9975768 12282776 12542678 18424164 18814017 25085356 36848328 37628034 50170712 68984729 75256068 137969458 150512136 181868831 206954187 275938916 363737662 413908374 545606493 551877832 727475324 827816748 1091212986 1454950648 1655633496 2000557141 2182425972 4001114282 4364851944 6001671423 8002228564 12003342846 16004457128 24006685692 48013371384