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48141754002 = 235416139607
BaseRepresentation
bin101100110101011110…
…001101111010010010
311121021002012111100000
4230311132031322102
51242043242112002
634041020510430
73322666104636
oct546536157222
9147232174300
1048141754002
1119464846361
1293b66ab416
134702a98194
142489a14dc6
1513bb68361c
hexb3578de92

48141754002 has 96 divisors (see below), whose sum is σ = 112628041344. Its totient is φ = 15398812800.

The previous prime is 48141753971. The next prime is 48141754027. The reversal of 48141754002 is 20045714184.

It is a happy number.

48141754002 is a `hidden beast` number, since 4 + 81 + 4 + 175 + 400 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195683 + ... + 1235289.

It is an arithmetic number, because the mean of its divisors is an integer number (1173208764).

Almost surely, 248141754002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48141754002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56314020672).

48141754002 is an abundant number, since it is smaller than the sum of its proper divisors (64486287342).

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

48141754002 is a wasteful number, since it uses less digits than its factorization.

48141754002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39726 (or 39714 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 48141754002 in words is "forty-eight billion, one hundred forty-one million, seven hundred fifty-four thousand, two".

Divisors: 1 2 3 6 9 18 27 41 54 61 81 82 122 123 162 183 243 246 366 369 486 549 738 1098 1107 1647 2214 2501 3294 3321 4941 5002 6642 7503 9882 9963 14823 15006 19926 22509 29646 39607 45018 67527 79214 118821 135054 202581 237642 356463 405162 607743 712926 1069389 1215486 1623887 2138778 2416027 3208167 3247774 4832054 4871661 6416334 7248081 9624501 9743322 14496162 14614983 19249002 21744243 29229966 43488486 43844949 65232729 87689898 99057107 130465458 131534847 195698187 198114214 263069694 297171321 391396374 394604541 587094561 594342642 789209082 891513963 1174189122 1783027926 2674541889 5349083778 8023625667 16047251334 24070877001 48141754002