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48687764421340 = 225117911437244939
BaseRepresentation
bin10110001001000000000001…
…11001110011101011011100
320101101111122000102000101201
423010200000321303223130
522340200020142440330
6251314503350445244
713153401122143432
oct1304400071635334
9211344560360351
1048687764421340
1114571401801620
125564021963824
13212230c730785
14c0470103ad52
15596731982eca
hex2c4800e73adc

48687764421340 has 96 divisors (see below), whose sum is σ = 112961468390400. Its totient is φ = 17478932440320.

The previous prime is 48687764421323. The next prime is 48687764421353. The reversal of 48687764421340 is 4312446778684.

It is a happy number.

It is a super-2 number, since 2×486877644213402 (a number of 28 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 31 ways as a sum of consecutive naturals, for example, 198652591 + ... + 198897529.

It is an arithmetic number, because the mean of its divisors is an integer number (1176681962400).

Almost surely, 248687764421340 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 48687764421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56480734195200).

48687764421340 is an abundant number, since it is smaller than the sum of its proper divisors (64273703969060).

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

48687764421340 is a wasteful number, since it uses less digits than its factorization.

48687764421340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256475 (or 256473 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 64.

The spelling of 48687764421340 in words is "forty-eight trillion, six hundred eighty-seven billion, seven hundred sixty-four million, four hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 11437 17380 22874 45748 57185 114370 125807 228740 244939 251614 489878 503228 629035 903523 979756 1224695 1258070 1807046 2449390 2516140 2694329 3614092 4517615 4898780 5388658 9035230 9938753 10777316 13471645 18070460 19350181 19877506 26943290 38700362 39755012 49693765 53886580 77400724 96750905 99387530 193501810 198775060 212851991 387003620 425703982 851407964 1064259955 2128519910 2801367343 4257039820 5602734686 11205469372 14006836715 28013673430 30815040773 56027346860 61630081546 123260163092 154075203865 221308020097 308150407730 442616040194 616300815460 885232080388 1106540100485 2213080200970 2434388221067 4426160401940 4868776442134 9737552884268 12171941105335 24343882210670 48687764421340