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5516204120 = 235773401673
BaseRepresentation
bin1010010001100101…
…01001100001011000
3112020102201012111022
411020302221201120
542244122012440
62311211222012
7253460650520
oct51062514130
915212635438
105516204120
112380831889
12109b447908
1369ba9840b
143a4874680
15224420cb5
hex148ca9858

5516204120 has 128 divisors (see below), whose sum is σ = 14436109440. Its totient is φ = 1857945600.

The previous prime is 5516204107. The next prime is 5516204147. The reversal of 5516204120 is 214026155.

It is a self number, because there is not a number n which added to its sum of digits gives 5516204120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8196104 + ... + 8196776.

It is an arithmetic number, because the mean of its divisors is an integer number (112782105).

Almost surely, 25516204120 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 5516204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218054720).

5516204120 is an abundant number, since it is smaller than the sum of its proper divisors (8919905320).

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

5516204120 is a wasteful number, since it uses less digits than its factorization.

5516204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5516204120 is about 74271.1526772003. The cubic root of 5516204120 is about 1766.9059888595.

The spelling of 5516204120 in words is "five billion, five hundred sixteen million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 401 511 584 673 730 802 1022 1346 1460 1604 2005 2044 2555 2692 2807 2920 3208 3365 4010 4088 4711 5110 5384 5614 6730 8020 9422 10220 11228 13460 14035 16040 18844 20440 22456 23555 26920 28070 29273 37688 47110 49129 56140 58546 94220 98258 112280 117092 146365 188440 196516 204911 234184 245645 269873 292730 343903 393032 409822 491290 539746 585460 687806 819644 982580 1024555 1079492 1170920 1349365 1375612 1639288 1719515 1889111 1965160 2049110 2158984 2698730 2751224 3439030 3778222 4098220 5397460 6878060 7556444 8196440 9445555 10794920 13756120 15112888 18891110 19700729 37782220 39401458 75564440 78802916 98503645 137905103 157605832 197007290 275810206 394014580 551620412 689525515 788029160 1103240824 1379051030 2758102060 5516204120