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48067993833984 = 293219315402083
BaseRepresentation
bin10101110110111101100111…
…01100101001001000000000
320022012020220010201001122100
422323132303230221020000
522300021222410141414
6250122044224110400
713060540461110145
oct1273366354511000
9208166803631570
1048067993833984
1114352581431133
125483a95a65400
1320a8a3bab0487
14bc270914c3cc
1558555b0b3609
hex2bb7b3b29200

48067993833984 has 120 divisors (see below), whose sum is σ = 138799352804112. Its totient is φ = 16014364047360.

The previous prime is 48067993833883. The next prime is 48067993834027. The reversal of 48067993833984 is 48933839976084.

48067993833984 is a `hidden beast` number, since 4 + 8 + 0 + 67 + 9 + 93 + 83 + 398 + 4 = 666.

It is a super-3 number, since 3×480679938339843 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6197007 + ... + 11599089.

Almost surely, 248067993833984 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 48067993833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69399676402056).

48067993833984 is an abundant number, since it is smaller than the sum of its proper divisors (90731358970128).

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

48067993833984 is a wasteful number, since it uses less digits than its factorization.

48067993833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404038 (or 5404019 counting only the distinct ones).

The product of its (nonzero) digits is 6772211712, while the sum is 81.

The spelling of 48067993833984 in words is "forty-eight trillion, sixty-seven billion, nine hundred ninety-three million, eight hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 1931 2304 3862 4608 5793 7724 11586 15448 17379 23172 30896 34758 46344 61792 69516 92688 123584 139032 185376 247168 278064 370752 494336 556128 741504 988672 1112256 1483008 2224512 2966016 4449024 5402083 8898048 10804166 16206249 21608332 32412498 43216664 48618747 64824996 86433328 97237494 129649992 172866656 194474988 259299984 345733312 388949976 518599968 691466624 777899952 1037199936 1382933248 1555799904 2074399872 2765866496 3111599808 4148799744 6223199616 8297599488 10431422273 12446399232 20862844546 24892798464 31294266819 41725689092 62588533638 83451378184 93882800457 125177067276 166902756368 187765600914 250354134552 333805512736 375531201828 500708269104 667611025472 751062403656 1001416538208 1335222050944 1502124807312 2002833076416 2670444101888 3004249614624 4005666152832 5340888203776 6008499229248 8011332305664 12016998458496 16022664611328 24033996916992 48067993833984