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48016454940 = 2235511387433
BaseRepresentation
bin101100101110000000…
…001111010100011100
311120221100102122100000
4230232000033110130
51241314203024230
634020343134300
73316615063356
oct545600172434
9146840378300
1048016454940
1119400045313
129380744390
1346b2b3731c
14247711a0d6
1513b0682b60
hexb2e00f51c

48016454940 has 144 divisors (see below), whose sum is σ = 152382773088. Its totient is φ = 12690929664.

The previous prime is 48016454929. The next prime is 48016454971. The reversal of 48016454940 is 4945461084.

48016454940 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 64 + 549 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505464 + ... + 592896.

It is an arithmetic number, because the mean of its divisors is an integer number (1058213702).

Almost surely, 248016454940 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 48016454940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76191386544).

48016454940 is an abundant number, since it is smaller than the sum of its proper divisors (104366318148).

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

48016454940 is a wasteful number, since it uses less digits than its factorization.

48016454940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87570 (or 87556 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48016454940 in words is "forty-eight billion, sixteen million, four hundred fifty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 113 135 162 180 226 243 270 324 339 405 452 486 540 565 678 810 972 1017 1130 1215 1356 1620 1695 2034 2260 2430 3051 3390 4068 4860 5085 6102 6780 9153 10170 12204 15255 18306 20340 27459 30510 36612 45765 54918 61020 87433 91530 109836 137295 174866 183060 262299 274590 349732 437165 524598 549180 786897 874330 1049196 1311495 1573794 1748660 2360691 2622990 3147588 3934485 4721382 5245980 7082073 7868970 9442764 9879929 11803455 14164146 15737940 19759858 21246219 23606910 28328292 29639787 35410365 39519716 42492438 47213820 49399645 59279574 70820730 84984876 88919361 98799290 106231095 118559148 141641460 148198935 177838722 197598580 212462190 266758083 296397870 355677444 424924380 444596805 533516166 592795740 800274249 889193610 1067032332 1333790415 1600548498 1778387220 2400822747 2667580830 3201096996 4001371245 4801645494 5335161660 8002742490 9603290988 12004113735 16005484980 24008227470 48016454940