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48967752624 = 2437972835309
BaseRepresentation
bin101101100110101101…
…001001101110110000
311200101122110120102120
4231212231021232300
51300241221040444
634255004514240
73352316013120
oct554655115660
9150348416376
1048967752624
111984902434a
1295a724b980
134804c5196b
1425275cac80
151418e43b19
hexb66b49bb0

48967752624 has 160 divisors (see below), whose sum is σ = 146605616640. Its totient is φ = 13795024896.

The previous prime is 48967752611. The next prime is 48967752637. The reversal of 48967752624 is 42625776984.

It is an interprime number because it is at equal distance from previous prime (48967752611) and next prime (48967752637).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9220882 + ... + 9226190.

It is an arithmetic number, because the mean of its divisors is an integer number (916285104).

Almost surely, 248967752624 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 48967752624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73302808320).

48967752624 is an abundant number, since it is smaller than the sum of its proper divisors (97637864016).

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

48967752624 is a wasteful number, since it uses less digits than its factorization.

48967752624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5701 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 48967752624 in words is "forty-eight billion, nine hundred sixty-seven million, seven hundred fifty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 283 291 336 388 566 582 679 776 849 1132 1164 1358 1552 1698 1981 2037 2264 2328 2716 3396 3962 4074 4528 4656 5309 5432 5943 6792 7924 8148 10618 10864 11886 13584 15848 15927 16296 21236 23772 27451 31696 31854 32592 37163 42472 47544 54902 63708 74326 82353 84944 95088 109804 111489 127416 148652 164706 192157 219608 222978 254832 297304 329412 384314 439216 445956 514973 576471 594608 658824 768628 891912 1029946 1152942 1317648 1502447 1537256 1544919 1783824 2059892 2305884 3004894 3074512 3089838 3604811 4119784 4507341 4611768 6009788 6179676 7209622 8239568 9014682 9223536 10517129 10814433 12019576 12359352 14419244 18029364 21034258 21628866 24039152 24718704 28838488 31551387 36058728 42068516 43257732 57676976 63102774 72117456 84137032 86515464 126205548 145737359 168274064 173030928 252411096 291474718 437212077 504822192 582949436 874424154 1020161513 1165898872 1748848308 2040323026 2331797744 3060484539 3497696616 4080646052 6120969078 6995393232 8161292104 12241938156 16322584208 24483876312 48967752624