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41016506752 = 271379509613
BaseRepresentation
bin100110001100110001…
…100011100110000000
310220212111210102121201
4212030301203212000
51133000211204002
630502010030544
72651266361224
oct461461434600
9126774712551
1041016506752
1116438826671
127b48418454
133b3884bb50
141db15b4784
151100d79087
hex98cc63980

41016506752 has 128 divisors (see below), whose sum is σ = 89432784000. Its totient is φ = 18623913984.

The previous prime is 41016506749. The next prime is 41016506761. The reversal of 41016506752 is 25760561014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×410165067522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66910798 + ... + 66911410.

It is an arithmetic number, because the mean of its divisors is an integer number (698693625).

Almost surely, 241016506752 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 41016506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44716392000).

41016506752 is an abundant number, since it is smaller than the sum of its proper divisors (48416277248).

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

41016506752 is a wasteful number, since it uses less digits than its factorization.

41016506752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 41016506752 in words is "forty-one billion, sixteen million, five hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 316 416 509 613 632 832 1018 1027 1226 1264 1664 2036 2054 2452 2528 4072 4108 4904 5056 6617 7969 8144 8216 9808 10112 13234 15938 16288 16432 19616 26468 31876 32576 32864 39232 40211 48427 52936 63752 65152 65728 78464 80422 96854 105872 127504 131456 160844 193708 211744 255008 312017 321688 387416 423488 510016 522743 624034 629551 643376 774832 846976 1020032 1045486 1248068 1259102 1286752 1549664 2090972 2496136 2518204 2573504 3099328 4056221 4181944 4992272 5036408 5147008 6198656 8112442 8363888 9984544 10072816 16224884 16727776 19969088 20145632 24649343 32449768 33455552 39938176 40291264 49298686 64899536 66911104 80582528 98597372 129799072 197194744 259598144 320441459 394389488 519196288 640882918 788778976 1281765836 1577557952 2563531672 3155115904 5127063344 10254126688 20508253376 41016506752