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14946972935316 = 22323167754143003
BaseRepresentation
bin1101100110000001110100…
…0000110010010010010100
31221220220202020120101111220
43121200131000302102110
53424342400032412231
651442313343330340
73101611631446302
oct331403500622224
957826666511456
1014946972935316
114842a80611a84
1218149a6bb09b0
138456552b0626
1439961a135272
151adc12181896
hexd981d032494

14946972935316 has 96 divisors (see below), whose sum is σ = 36616256022528. Its totient is φ = 4736426048640.

The previous prime is 14946972935267. The next prime is 14946972935317. The reversal of 14946972935316 is 61353927964941.

It is a super-2 number, since 2×149469729353162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14946972935317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347558271 + ... + 347601273.

It is an arithmetic number, because the mean of its divisors is an integer number (381419333568).

Almost surely, 214946972935316 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 14946972935316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18308128011264).

14946972935316 is an abundant number, since it is smaller than the sum of its proper divisors (21669283087212).

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

14946972935316 is a wasteful number, since it uses less digits than its factorization.

14946972935316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50741 (or 50739 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 69.

The spelling of 14946972935316 in words is "fourteen trillion, nine hundred forty-six billion, nine hundred seventy-two million, nine hundred thirty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 167 276 334 501 668 1002 2004 3841 7541 7682 11523 15082 15364 22623 23046 30164 43003 45246 46092 86006 90492 129009 172012 173443 258018 346886 516036 520329 693772 989069 1040658 1259347 1978138 2081316 2518694 2967207 3778041 3956276 5037388 5934414 7181501 7556082 11868828 14363002 15112164 21544503 28726004 28964981 43089006 57929962 86178012 86894943 115859924 165174523 173789886 324285623 330349046 347579772 495523569 648571246 660698092 972856869 991047138 1297142492 1945713738 1982094276 3891427476 7458569329 14917138658 22375707987 29834277316 44751415974 54155699041 89502831948 108311398082 162467097123 216622796164 324934194246 649868388492 1245581077943 2491162155886 3736743233829 4982324311772 7473486467658 14946972935316