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48001356936 = 233213358114321
BaseRepresentation
bin101100101101000110…
…101001010010001000
311120220022000120202200
4230231012221102020
51241301321410221
634015043400200
73316342542021
oct545506512210
9146808016680
1048001356936
11193a2572a25
129377683060
1346ac97c1b0
142475109c48
1513ae19e426
hexb2d1a9488

48001356936 has 96 divisors (see below), whose sum is σ = 140052832920. Its totient is φ = 14764492800.

The previous prime is 48001356913. The next prime is 48001356959. The reversal of 48001356936 is 63965310084.

48001356936 is a `hidden beast` number, since 4 + 80 + 0 + 1 + 3 + 569 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (48001356913) and next prime (48001356959).

It can be written as a sum of positive squares in 4 ways, for example, as 27952496100 + 20048860836 = 167190^2 + 141594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48001356891 and 48001356900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3344656 + ... + 3358976.

Almost surely, 248001356936 is an apocalyptic number.

It is an amenable number.

48001356936 is an abundant number, since it is smaller than the sum of its proper divisors (92051475984).

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

48001356936 is a wasteful number, since it uses less digits than its factorization.

48001356936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17927 (or 17920 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 48001356936 in words is "forty-eight billion, one million, three hundred fifty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3581 7162 10743 14321 14324 21486 28642 28648 32229 42963 42972 46553 57284 64458 85926 85944 93106 114568 128889 128916 139659 171852 186173 186212 257778 257832 279318 343704 372346 372424 418977 515556 558519 558636 744692 837954 1031112 1117038 1117272 1489384 1675557 1675908 2234076 3351114 3351816 4468152 6702228 13404456 51283501 102567002 153850503 205134004 307701006 410268008 461551509 615402012 666685513 923103018 1230804024 1333371026 1846206036 2000056539 2666742052 3692412072 4000113078 5333484104 6000169617 8000226156 12000339234 16000452312 24000678468 48001356936