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5016451554400 = 2552111343850101
BaseRepresentation
bin100100011111111101111…
…0100000001110001100000
3122202120100010121200101211
41020333323310001301200
51124142143044220100
614400305342235504
71025266226444446
oct110777364016140
918676303550354
105016451554400
11166451313a910
1269027b585b94
132a508456c840
14134b2469cb96
158a751bb11ba
hex48ffbd01c60

5016451554400 has 144 divisors (see below), whose sum is σ = 14387393866608. Its totient is φ = 1683843840000.

The previous prime is 5016451554391. The next prime is 5016451554409. The reversal of 5016451554400 is 44551546105.

It is an interprime number because it is at equal distance from previous prime (5016451554391) and next prime (5016451554409).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016451554409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21810651 + ... + 22039450.

It is an arithmetic number, because the mean of its divisors is an integer number (99912457407).

Almost surely, 25016451554400 is an apocalyptic number.

5016451554400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5016451554400 is an abundant number, since it is smaller than the sum of its proper divisors (9370942312208).

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

5016451554400 is a wasteful number, since it uses less digits than its factorization.

5016451554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43850145 (or 43850132 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 5016451554400 in words is "five trillion, sixteen billion, four hundred fifty-one million, five hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 110 130 143 160 176 200 208 220 260 275 286 325 352 400 416 440 520 550 572 650 715 800 880 1040 1100 1144 1300 1430 1760 2080 2200 2288 2600 2860 3575 4400 4576 5200 5720 7150 8800 10400 11440 14300 22880 28600 57200 114400 43850101 87700202 175400404 219250505 350800808 438501010 482351111 570051313 701601616 877002020 964702222 1096252525 1140102626 1403203232 1754004040 1929404444 2192505050 2280205252 2411755555 2850256565 3508008080 3858808888 4385010100 4560410504 4823511110 5700513130 6270564443 7016016160 7717617776 8770020200 9120821008 9647022220 11401026260 12058777775 12541128886 14251282825 15435235552 17540040400 18241642016 19294044440 22802052520 24117555550 25082257772 28502565650 31352822215 35080080800 38588088880 45604105040 48235111100 50164515544 57005131300 62705644430 77176177760 91208210080 96470222200 100329031088 114010262600 125411288860 156764111075 192940444400 200658062176 228020525200 250822577720 313528222150 385880888800 456041050400 501645155440 627056444300 1003290310880 1254112888600 2508225777200 5016451554400