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47000417152 = 2713212913267
BaseRepresentation
bin101011110001011100…
…010111001110000000
311111022112120120111211
4223301130113032000
51232224101322102
633331450015504
73252466645153
oct536134271600
9144275516454
1047000417152
1118a29568067
129138417594
1345804a3330
1423bc1d5c9a
1513513847d7
hexaf1717380

47000417152 has 64 divisors (see below), whose sum is σ = 100891198800. Its totient is φ = 21680676864.

The previous prime is 47000417143. The next prime is 47000417161. The reversal of 47000417152 is 25171400074.

It is an interprime number because it is at equal distance from previous prime (47000417143) and next prime (47000417161).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×470004171522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3536023 + ... + 3549289.

Almost surely, 247000417152 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 47000417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50445599400).

47000417152 is an abundant number, since it is smaller than the sum of its proper divisors (53890781648).

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

47000417152 is a wasteful number, since it uses less digits than its factorization.

47000417152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15423 (or 15411 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The spelling of 47000417152 in words is "forty-seven billion, four hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2129 4258 8516 13267 17032 26534 27677 34064 53068 55354 68128 106136 110708 136256 172471 212272 221416 272512 344942 424544 442832 689884 849088 885664 1379768 1698176 1771328 2759536 3542656 5519072 11038144 22076288 28245443 56490886 112981772 225963544 367190759 451927088 734381518 903854176 1468763036 1807708352 2937526072 3615416704 5875052144 11750104288 23500208576 47000417152