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48588157152 = 253522732749
BaseRepresentation
bin101101010000000101…
…000111000011100000
311122102012012010100000
4231100011013003200
51244002032012102
634153204500000
73340026343563
oct552005070340
9148365163300
1048588157152
1119673825687
1295000aa600
134774405962
1424cd0184da
1513e596101c
hexb501470e0

48588157152 has 144 divisors (see below), whose sum is σ = 143405262000. Its totient is φ = 16183037952.

The previous prime is 48588157141. The next prime is 48588157193. The reversal of 48588157152 is 25175188584.

It is a happy number.

48588157152 is a `hidden beast` number, since 4 + 8 + 588 + 1 + 5 + 7 + 1 + 52 = 666.

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

It is a super-2 number, since 2×485881571522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17673474 + ... + 17676222.

It is an arithmetic number, because the mean of its divisors is an integer number (995869875).

Almost surely, 248588157152 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 48588157152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71702631000).

48588157152 is an abundant number, since it is smaller than the sum of its proper divisors (94817104848).

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

48588157152 is a wasteful number, since it uses less digits than its factorization.

48588157152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5027 counting only the distinct ones).

The product of its digits is 3584000, while the sum is 54.

The spelling of 48588157152 in words is "forty-eight billion, five hundred eighty-eight million, one hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2273 2592 2749 3888 4546 5498 6819 7776 8247 9092 10996 13638 16494 18184 20457 21992 24741 27276 32988 36368 40914 43984 49482 54552 61371 65976 72736 74223 81828 87968 98964 109104 122742 131952 148446 163656 184113 197928 218208 222669 245484 263904 296892 327312 368226 395856 445338 490968 552339 593784 654624 668007 736452 791712 890676 981936 1104678 1187568 1336014 1472904 1781352 1963872 2209356 2375136 2672028 2945808 3562704 4418712 5344056 5891616 6248477 7125408 8837424 10688112 12496954 17674848 18745431 21376224 24993908 37490862 49987816 56236293 74981724 99975632 112472586 149963448 168708879 199951264 224945172 299926896 337417758 449890344 506126637 599853792 674835516 899780688 1012253274 1349671032 1518379911 1799561376 2024506548 2699342064 3036759822 4049013096 5398684128 6073519644 8098026192 12147039288 16196052384 24294078576 48588157152