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47105157440 = 2651127748311
BaseRepresentation
bin101011110111101011…
…111010100101000000
311111120211122221011202
4223313223322211000
51232432410014230
633350111000332
73255211142345
oct536753724500
9144524587152
1047105157440
1118a826a6a90
1291675090a8
1345990b6633
1423cc09c7cc
15135a673a45
hexaf7afa940

47105157440 has 112 divisors (see below), whose sum is σ = 122810649984. Its totient is φ = 17066956800.

The previous prime is 47105157433. The next prime is 47105157457. The reversal of 47105157440 is 4475150174.

It is a junction number, because it is equal to n+sod(n) for n = 47105157394 and 47105157403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950885 + ... + 999195.

Almost surely, 247105157440 is an apocalyptic number.

47105157440 is a gapful number since it is divisible by the number (40) 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 47105157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61405324992).

47105157440 is an abundant number, since it is smaller than the sum of its proper divisors (75705492544).

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

47105157440 is a wasteful number, since it uses less digits than its factorization.

47105157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48616 (or 48606 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The spelling of 47105157440 in words is "forty-seven billion, one hundred five million, one hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 277 320 352 440 554 704 880 1108 1385 1760 2216 2770 3047 3520 4432 5540 6094 8864 11080 12188 15235 17728 22160 24376 30470 44320 48311 48752 60940 88640 96622 97504 121880 193244 195008 241555 243760 386488 483110 487520 531421 772976 966220 975040 1062842 1545952 1932440 2125684 2657105 3091904 3864880 4251368 5314210 7729760 8502736 10628420 13382147 15459520 17005472 21256840 26764294 34010944 42513680 53528588 66910735 85027360 107057176 133821470 147203617 170054720 214114352 267642940 294407234 428228704 535285880 588814468 736018085 856457408 1070571760 1177628936 1472036170 2141143520 2355257872 2944072340 4282287040 4710515744 5888144680 9421031488 11776289360 23552578720 47105157440