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47970849753 = 346113969847
BaseRepresentation
bin101100101011010010…
…010001001111011001
311120211011121122210000
4230223102101033121
51241221014143003
634012033443213
73315522331551
oct545322211731
9146734548700
1047970849753
1119387326482
129369410509
1346a655a3c8
142471048161
1513ab6751a3
hexb2b4913d9

47970849753 has 40 divisors (see below), whose sum is σ = 73359957440. Its totient is φ = 31229543520.

The previous prime is 47970849727. The next prime is 47970849763. The reversal of 47970849753 is 35794807974.

47970849753 is a `hidden beast` number, since 4 + 7 + 97 + 0 + 8 + 497 + 53 = 666.

47970849753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47970849753 - 213 = 47970841561 is a prime.

It is a super-2 number, since 2×479708497532 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47970849763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 651876 + ... + 721722.

It is an arithmetic number, because the mean of its divisors is an integer number (1833998936).

Almost surely, 247970849753 is an apocalyptic number.

It is an amenable number.

47970849753 is a deficient number, since it is larger than the sum of its proper divisors (25389107687).

47970849753 is a wasteful number, since it uses less digits than its factorization.

47970849753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70059 (or 70050 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 47970849753 in words is "forty-seven billion, nine hundred seventy million, eight hundred forty-nine thousand, seven hundred fifty-three".

Divisors: 1 3 9 27 61 81 139 183 417 549 1251 1647 3753 4941 8479 11259 25437 69847 76311 209541 228933 628623 686799 1885869 4260667 5657607 9708733 12782001 29126199 38346003 87378597 115038009 262135791 345114027 592232713 786407373 1776698139 5330094417 15990283251 47970849753