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16601631461016 = 23373371316322277
BaseRepresentation
bin1111000110010101111001…
…0110001000111010011000
32011210002201020111122222220
43301211132112020322120
54134000120123223031
655150403442144040
73332266622035560
oct361453626107230
964702636448886
1016601631461016
115320792179858
121a41610952020
139356b1145564
14415747b25da0
151dbca70ae596
hexf195e588e98

16601631461016 has 128 divisors (see below), whose sum is σ = 47579734126080. Its totient is φ = 4728676571136.

The previous prime is 16601631461003. The next prime is 16601631461071. The reversal of 16601631461016 is 61016413610661.

16601631461016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166016314610162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745225270 + ... + 745247546.

It is an arithmetic number, because the mean of its divisors is an integer number (371716672860).

Almost surely, 216601631461016 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 16601631461016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23789867063040).

16601631461016 is an abundant number, since it is smaller than the sum of its proper divisors (30978102665064).

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

16601631461016 is a wasteful number, since it uses less digits than its factorization.

16601631461016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35793 (or 35789 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 16601631461016 in words is "sixteen trillion, six hundred one billion, six hundred thirty-one million, four hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 337 674 1011 1348 2022 2359 2696 4044 4718 7077 8088 9436 13163 14154 18872 22277 26326 28308 39489 44554 52652 56616 66831 78978 89108 92141 105304 133662 155939 157956 178216 184282 267324 276423 311878 315912 368564 467817 534648 552846 623756 737128 935634 1105692 1247512 1871268 2211384 3742536 4435931 7507349 8871862 13307793 15014698 17743724 22522047 26615586 30029396 31051517 35487448 45044094 52551443 53231172 60058792 62103034 90088188 93154551 105102886 106462344 124206068 157654329 180176376 186309102 210205772 248412136 293232151 315308658 372618204 420411544 586464302 630617316 745236408 879696453 1172928604 1261234632 1759392906 2052625057 2345857208 3518785812 4105250114 6157875171 7037571624 8210500228 12315750342 16421000456 24631500684 49263001368 98819234887 197638469774 296457704661 395276939548 592915409322 691734644209 790553879096 1185830818644 1383469288418 2075203932627 2371661637288 2766938576836 4150407865254 5533877153672 8300815730508 16601631461016