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7949978499132 = 22331312412331599
BaseRepresentation
bin111001110101111111110…
…1001001111100000111100
31001011000021200002212121000
41303223333221033200330
52020223023443433012
624524100353410300
71450236610163565
oct163537751174074
931130250085530
107949978499132
11259562667527a
12a84913869990
134588ab566b37
141d6ad115316c
15dbbe5774ddc
hex73affa4f83c

7949978499132 has 96 divisors (see below), whose sum is σ = 20854576512000. Its totient is φ = 2618850873600.

The previous prime is 7949978499131. The next prime is 7949978499167. The reversal of 7949978499132 is 2319948799497.

7949978499132 is a `hidden beast` number, since 7 + 9 + 4 + 9 + 97 + 8 + 499 + 1 + 32 = 666.

It is a super-2 number, since 2×79499784991322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7949978499131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243869 + ... + 4575467.

It is an arithmetic number, because the mean of its divisors is an integer number (217235172000).

Almost surely, 27949978499132 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 7949978499132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10427288256000).

7949978499132 is an abundant number, since it is smaller than the sum of its proper divisors (12904598012868).

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

7949978499132 is a wasteful number, since it uses less digits than its factorization.

7949978499132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331984 (or 2331976 counting only the distinct ones).

The product of its digits is 2222131968, while the sum is 81.

The spelling of 7949978499132 in words is "seven trillion, nine hundred forty-nine billion, nine hundred seventy-eight million, four hundred ninety-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 241 262 393 482 524 723 786 964 1179 1446 1572 2169 2358 2892 3537 4338 4716 6507 7074 8676 13014 14148 26028 31571 63142 94713 126284 189426 284139 378852 568278 852417 1136556 1704834 2331599 3409668 4663198 6994797 9326396 13989594 20984391 27979188 41968782 62953173 83937564 125906346 251812692 305439469 561915359 610878938 916318407 1123830718 1221757876 1685746077 1832636814 2247661436 2748955221 3371492154 3665273628 5057238231 5497910442 6742984308 8246865663 10114476462 10995820884 15171714693 16493731326 20228952924 30343429386 32987462652 60686858772 73610912029 147221824058 220832736087 294443648116 441665472174 662498208261 883330944348 1324996416522 1987494624783 2649992833044 3974989249566 7949978499132