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98890222608 = 243223199150041
BaseRepresentation
bin101110000011001010…
…0010000110000010000
3100110020211101210212100
41130012110100300100
53110011344110413
6113232440400400
710100410010622
oct1340624206020
9313224353770
1098890222608
1138a36a52a01
12171ba176100
13942c917628
144b018d8c12
15288bac1a73
hex1706510c10

98890222608 has 120 divisors (see below), whose sum is σ = 290241244800. Its totient is φ = 31371563520.

The previous prime is 98890222577. The next prime is 98890222619. The reversal of 98890222608 is 80622209889.

98890222608 is a `hidden beast` number, since 9 + 8 + 8 + 9 + 0 + 2 + 22 + 608 = 666.

It is a super-2 number, since 2×988902226082 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584068 + ... + 734108.

It is an arithmetic number, because the mean of its divisors is an integer number (2418677040).

Almost surely, 298890222608 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 98890222608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145120622400).

98890222608 is an abundant number, since it is smaller than the sum of its proper divisors (191351022192).

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

98890222608 is a wasteful number, since it uses less digits than its factorization.

98890222608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150277 (or 150268 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 98890222608 in words is "ninety-eight billion, eight hundred ninety million, two hundred twenty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 199 207 276 368 398 414 552 597 796 828 1104 1194 1592 1656 1791 2388 3184 3312 3582 4577 4776 7164 9154 9552 13731 14328 18308 27462 28656 36616 41193 54924 73232 82386 109848 150041 164772 219696 300082 329544 450123 600164 659088 900246 1200328 1350369 1800492 2400656 2700738 3450943 3600984 5401476 6901886 7201968 10352829 10802952 13803772 20705658 21605904 27607544 29858159 31058487 41411316 55215088 59716318 62116974 82822632 89574477 119432636 124233948 165645264 179148954 238865272 248467896 268723431 358297908 477730544 496935792 537446862 686737657 716595816 1074893724 1373475314 1433191632 2060212971 2149787448 2746950628 4120425942 4299574896 5493901256 6180638913 8240851884 10987802512 12361277826 16481703768 24722555652 32963407536 49445111304 98890222608