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47382913067264 = 281935369139937
BaseRepresentation
bin10101100011000001100011…
…01100111010100100000000
320012202202120200101020110222
422301200301230322210000
522202310201221123024
6244435224301442212
712660205520504435
oct1261406154724400
9205682520336428
1047382913067264
1114108a8717a2a5
125393161870368
132059260521228
14b9b4b9445b8c
15572811bb985e
hex2b1831b3a900

47382913067264 has 144 divisors (see below), whose sum is σ = 99987696876480. Its totient is φ = 22348006686720.

The previous prime is 47382913067227. The next prime is 47382913067267. The reversal of 47382913067264 is 46276031928374.

It is a junction number, because it is equal to n+sod(n) for n = 47382913067197 and 47382913067206.

It is not an unprimeable number, because it can be changed into a prime (47382913067267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186421504 + ... + 1186461440.

Almost surely, 247382913067264 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 47382913067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49993848438240).

47382913067264 is an abundant number, since it is smaller than the sum of its proper divisors (52604783809216).

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

47382913067264 is a wasteful number, since it uses less digits than its factorization.

47382913067264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41016 (or 41002 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 62.

The spelling of 47382913067264 in words is "forty-seven trillion, three hundred eighty-two billion, nine hundred thirteen million, sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 353 608 691 706 1216 1382 1412 2432 2764 2824 4864 5528 5648 6707 11056 11296 13129 13414 22112 22592 26258 26828 39937 44224 45184 52516 53656 79874 88448 90368 105032 107312 159748 176896 210064 214624 243923 319496 420128 429248 487846 638992 758803 840256 858496 975692 1277984 1517606 1680512 1716992 1951384 2555968 3035212 3361024 3902768 4634537 5111936 6070424 7805536 9269074 10223872 12140848 14097761 15611072 18538148 24281696 27596467 28195522 31222144 37076296 48563392 55192934 56391044 62444288 74152592 97126784 110385868 112782088 148305184 194253568 220771736 225564176 267857459 296610368 441543472 451128352 524332873 535714918 593220736 883086944 902256704 1048665746 1071429836 1186441472 1766173888 1804513408 2097331492 2142859672 3532347776 3609026816 4194662984 4285719344 7064695552 8389325968 8571438688 9741552851 16778651936 17142877376 19483105702 33557303872 34285754752 38966211404 67114607744 68571509504 77932422808 134229215488 155864845616 185089504169 311729691232 370179008338 623459382464 740358016676 1246918764928 1480716033352 2493837529856 2961432066704 5922864133408 11845728266816 23691456533632 47382913067264