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55516500016098 = 231171733128912539
BaseRepresentation
bin11001001111101111100010…
…10000110011101111100010
321021120022210100011202201220
430213313301100303233202
524234040243001003343
6314023532241435510
714456635424035062
oct1447676120635742
9237508710152656
1055516500016098
1116764462a46390
12628757763bb96
1324c925017a734
14d9d0277033a2
156641a1828183
hex327df1433be2

55516500016098 has 128 divisors (see below), whose sum is σ = 123105737779200. Its totient is φ = 16549437811200.

The previous prime is 55516500016093. The next prime is 55516500016121. The reversal of 55516500016098 is 89061000561555.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 55516500016098.

It is not an unprimeable number, because it can be changed into a prime (55516500016093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4427499913 + ... + 4427512451.

It is an arithmetic number, because the mean of its divisors is an integer number (961763576400).

Almost surely, 255516500016098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55516500016098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61552868889600).

55516500016098 is an abundant number, since it is smaller than the sum of its proper divisors (67589237763102).

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

55516500016098 is a wasteful number, since it uses less digits than its factorization.

55516500016098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14648.

The product of its (nonzero) digits is 1620000, while the sum is 51.

The spelling of 55516500016098 in words is "fifty-five trillion, five hundred sixteen billion, five hundred million, sixteen thousand, ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 733 781 1289 1466 1562 2199 2343 2578 3867 4398 4686 7734 8063 12539 14179 16126 24189 25078 28358 37617 42537 48378 52043 75234 85074 91519 104086 137929 156129 183038 274557 275858 312258 413787 549114 572473 827574 890269 944837 1006709 1144946 1717419 1780538 1889674 2013418 2670807 2834511 3020127 3434838 5341614 5669022 6040254 9191087 9792959 10393207 16162771 18382174 19585918 20786414 27573261 29378877 31179621 32325542 48488313 55146522 58757754 62359242 67083427 96976626 101101957 134166854 177790481 201250281 202203914 303305871 355580962 402500562 533371443 606611742 652567177 737917697 1066742886 1147556741 1305134354 1475835394 1957701531 2213753091 2295113482 3442670223 3915403062 4427506182 6885340446 7178238947 11847311143 12623124151 14356477894 21534716841 23694622286 25246248302 35541933429 37869372453 43069433682 71083866858 75738744906 130320422573 260640845146 390961267719 781922535438 841159091153 1682318182306 2523477273459 5046954546918 9252750002683 18505500005366 27758250008049 55516500016098